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Scarborough HS Algebra 1 - REVIEW Questions This page was made for students of Scarborough HS to review for the STAAR Algebra 1 test (2016). |
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| A.02(A) | Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real‐world situations, both continuous and discrete; and represent domain and range using inequalities. | Q#1 Vid | Q#2 Vid | Q#3 Vid | Video: Find the Domain and Range from a Graph. |
| Q#4 Vid | Q#5 Vid | Q#6 Vid | |||
| Q#7 Vid | Q#8 Vid | Q#9 Vid | |||
| A.02(B) | Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1), given one point and the slope and given two points. | Q#1 | Q#2 | Q#3 | Video: What is the Slope of a Line. |
| Q#4 | Q#5 | Q#6 | Video: Graph from slope-int Equation | ||
| A.02(C) | Write linear equations in two variables given a table of values, a graph, and a verbal description | Q#1 | Q#2 | Q#3 | Video: Linear Equation from Table |
| Q#4 | Q#5 | Q#6 | Video: Wirte equation from a Graph | ||
| A.02(D) | Write and solve equations involving direct variation. | Q#1 | Q#2 | Q#3 | |
| Q#4 | |||||
| A.02(E) | Write the equation of a line that contains a given point and is parallel to a given line. | Q#1 | Video: Click here. | ||
| A.02(F) | Write the equation of a line that contains a given point and is perpendicular to a given line. | Q#1 | Video: Click here. | ||
| A.02(G) | Write an equation of a line that is parallel or perpendicular to the x‐ or y‐axis and determine whether the slope of the line is zero or undefined. | Not previously tested. | Video: Find the Slope of Vertical and Horizontal Lines | ||
| A.02(H) | Write linear inequalities in two variables given a table of values, a graph, and a verbal description. | Q#1 | Q#2 | Q#3 | Video: Writing and Using Inequalities. |
| Q#4 | Q#5 | ||||
| A.02(I) | Write systems of two linear equations given a table of values, a graph, and a verbal description | Q#1 | Q#2 | Q#3 | Video: System of Linear Equations |
| Q#4 | |||||
| A.03(A) | Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1). | Q#1 | Q#2 | Q#3 | Video: Find the Slope from a Table. |
| Q#4 | Video: Find the Slope from two points. | ||||
| A.03(B) | Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real‐world problems | Q#1 | Q#2 | Video: Rate of Change from a Graph. | |
| Video: Rate of Cahnge from a Word Problem. | |||||
| A.03(C) | Graph linear functions on the coordinate plane and identify key features, including x‐intercept, y‐intercept, zeros, and slope, in mathematical and real‐world problems | Q#1 | Q#2 | Q#3 | |
| Q#4 | Q#5 | Q#6 | |||
| Q#7 | Q#8 | ||||
| A.03(D) | Graph the solution set of linear inequalities in two variables on the coordinate plane | Q#1 | Q#2 | Q#3 | Video: Graphing linear Inequalities. |
| A.03(E) | Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values o f a, b, c, and d. | Q#1 | Q#2 | Q#3 | Video: Transformation of Linear Functions. |
| Q#4 | Q#5 | Q#6 | |||
| A.03(F) | Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist. | Q#1 | Video: Two variable Equations and their Graphs. | ||
| A.03(G) | Estimate graphically the solutions to systems of two linear equations with two variables in real‐world problems. | Not previously tested. | Video: Systems of Linear Equations Word Problems | ||
| A.03(H) | Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane. | Q#1 | Q#2 | Video: Graphing Linear Inequalties. | |
| A.04(A) | Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association. | Not previously tested. | |||
| A.04(B) | Compare and contrast association and causation in real‐world problems. | Not previously tested. | |||
| A.04(C) | Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real‐world problems. | Q#1 | Q#2 | ||
| A.05(A) | Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides | Q#1 Vid | Q#2 Vid | Q#3 Vid | |
| Q#4 Vid | Q#5 Vid | Q#6 Vid | |||
| Q#7 | Q#8 | Q#9 | |||
| Q#10 | |||||
| A.05(B) | Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. | Q#1 | Q#2 | Q#3 | |
| Q#4 | |||||
| A.05(C) | Solve systems of two linear equations with two variables for mathematical and real‐ world problems | Q#1 | Q#2 | Q#3 | |
| Q#4 | Q#5 | Q#6 | |||
| Q#7 | Q#8 | Q#9 | |||
| A.06(A) | Determine the domain and range of quadratic functions and represent the domain and range using inequalities | Q#1 Vid | Q#2 Vid | ||
| A.06(B) | Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x – h)2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax2 + bx + c). | Q#1 | Q#2 | ||
| A.06(C) | Write quadratic functions when given real solutions and graphs of their related equations. | Not previously tested. | |||
| A.07(A) | Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x‐intercept, y‐intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry | Q#1 | Q#2 | Q#3 | |
| Q#4 | Q#5 | Q#6 | |||
| Q#7 | Q#8 | Q#9 | |||
| Q#10 | Q#11 | Q#12 | |||
| Q#13 | Q#14 | Q#15 | |||
| A.07(B) | Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions. | Not previously tested. | |||
| A.07(C) | Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values o f a, b, c, and d. | Q#1 | |||
| A.08(A) | Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula | Q#1 | Q#2 | Q#3 | |
| Q#4 | Q#5 | Q#6 | |||
| Q#7 | Q#8 | Q#9 | |||
| A.08(B) | Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real‐world problems. | Q#1 | Q#2 | Q#3 | |
| A.09(A) | Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities. | Not previously tested. | |||
| A.09(B) | Interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real‐world problems. | Q#1 | |||
| A.09(C) | Write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real‐world situations, including growth and decay. | Q#1 | Q#2 | Q#3 | |
| A.09(D) | Graph exponential functions that model growth and decay and identify key features, including y‐intercept and asymptote, in mathematical and real‐world problems | Q#1 | |||
| A.09(E) | Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real‐world problems. | Q#1 | |||
| A.10(A) | Add and subtract polynomials of degree one and degree two. | Not previously tested. | |||
| A.10(B) | Multiply polynomials of degree one and degree two. | Q#1 | |||
| A.10(C) | Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. | Not previously tested. | |||
| A.10(D) | Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property. | Q#1 | Q#2 | Q#3 | |
| Q#4 | |||||
| A.10(E) | Factor, if possible, trinomials with real factorsin the form ax2 + bx + c, including perfect square trinomials of degree two | Q#1 | Q#2 | ||
| A.10(F) | Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial. | Not previously tested. | |||
| A.11(A) | Simplify numerical radical expressions involving square roots. | Not previously tested. | |||
| A.11(B) | Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. | Q#1 Vid | Q#2 Vid | Q#3 Vid | |
| A.12(A) | Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function. | Q#1 Vid | Q#2 Vid | Q#3 | |
| A.12(B) | Evaluate functions, expressed in function notation, given one or more elements in their domains. | Q#1 Vid | Q#2 Vid | Q#3 Vid | |
| Q#4 Vid | Q#5 Vid | Q#6 Vid | |||
| Q#7 Vid | |||||
| A.12(C) | Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes. | Not previously tested. | |||
| A.12(D) | Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms. | Q#1 | Q#2 | Q#3 | |
| Q#4 | |||||
| A.12(E) | Solve mathematic and scientific formulas, and other literal equations, for a specified variable. | Not previously tested. | |||
| #1 | Absolute Value | #35 | Horizon Stretch | #69 | Range |
| #2 | Algebra | #36 | Horizontal Line | #70 | Rate of Change |
| #3 | Analyze | #37 | Independent Variable | #71 | Ratio |
| #4 | Arithmetic Sequence | #38 | Index (exponent) | #72 | Recursive Formula |
| #5 | Asymptote | #39 | Inequality | #73 | Reflection |
| #6 | Axis of Symmetry |
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Input | #74 | Root of an Equation |
| #7 | Binomial | #41 | #75 | Scatter Plot | |
| #8 | Boundary Line | #42 | Line of Best Fit | #76 | Sequence |
| #9 | Coefficient |
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Linear Equation | #77 | Slope |
| #10 | Common Difference | #44 | Linear Inequality | #78 | Slope-Intercept Form |
| #11 | Common Ratio | #45 | Literal Equation | #79 | Solution of Linear Inequalities |
| #12 | Completing the Square | #46 | Maximum (parabola) | #80 | Square Root |
| #13 | Compound Interest | #47 | Minimum (parabola) | #81 | Standard Form of Quadratic Function |
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Continuous Graph | #48 | Monomial | #82 | Substitution Method |
| #15 | Decay Factor | #49 | Negative Correlation | #83 | System of Linear Equations |
| #16 | Degree of a Polynomial | #50 | Negative Slope | #84 | System of Linear Inequalities |
| #17 | Dependent Variable | #51 | No Correlation | #85 | Term of a Sequence |
| #18 | Discrete Graph | #52 | n-th root | #86 | Transformation |
| #19 | Distributive Property | #53 | Output | #87 | Translation |
| #20 | Domain | #54 | Parabola | #88 | Trend Line |
| #21 | Elimination Method | #55 | Parallel Lines | #89 | Variable |
| #22 | Equation | #56 | Parent Function | #90 | Vertex |
| #23 | Exponent | #57 | Perfect Square | #91 | Vertex Form of Quadratic Function |
| #24 | Exponential Decay | #58 | Perpendicular Lines | #92 | Vertica Compression |
| #25 | Exponential Function | #59 | Point-Slope Form | #93 | Vertical Line |
| #26 | Exponential Growth | #60 | Polynomial | #94 | Vertical Stretch |
| #27 | Formula | #61 | Positive Correlation | #95 | x-axis |
| #28 | Function | #62 | Positive Slope | #96 | x-intercept |
| #29 | Function | #63 | Properties of Equality | #97 | y-axis |
| #30 | Geometric Sequence | #64 | Proportional | #98 | y-intercept |
| #31 | Greater than or Equal to | #65 | Quadratic Formula | #99 | Zero of a Function |
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Growth Factor | #66 | Quadratic Function | #100 | Zero-Product Property |
| #33 | Half-Plane | #67 | Radical | ||
| #34 | Horizon Compression | #68 | Radicand |
