Is the equation 3(2x – 4) = (-18) equivalent to 6x – 12 = (-18)? Yes, the equations are equivalent by the Associative Property of Multiplication. Yes, the equations are equivalent by the Commutative Property of Multiplication. Yes, the equations are equivalent by the distributive property of Multiplication over Addition. No, the equations are not equivalent. 1 A1.1 CST Algebra

A1.1 CST Algebra

4 6 9 10 3 A2.0 CST Algebra

Which expression is equivalent to A. C. B. D. 4 A2.0 CST Algebra

Which number does not have a reciprocal? -1 C. D. 3 5 A2.0 CST Algebra

What is the multiplicative inverse of ? -2 B. C. D. 2 6 A2.0 CST Algebra

What is the solution for this equation? x = -4 or x = 4 B. x = -4 or x = 3 x = -1 or x = 4 D. x = -1 or x = 3 7 A3.0 CST Algebra

What is the solution set of the inequality -2 ≤ x ≤ 6 B. x ≤ -2 or x ≥ 6 -12 ≤ x ≤ 4 D. x ≤ -12 or x ≥ 4 8 A3.0 CST Algebra

Which equation is equivalent to 5x – 2(7x + 1) = 14x ? B. -9x + 1 = 14x -9x + 2 = 14x D. 12x – 1 = 14x 9 A4.0 CST Algebra

Which equation is equivalent to 4(2 – 5x) = 6 – 3( 1 – 3x)? B. 8x = 17 29x = 5 D. 29x = 17 10 A4.0 CST Algebra

A4.0 CST Algebra

If the total cost was $360, for how many days was the sailboat rented? The total cost (c) in dollars of renting a sailboat for n days is given by the equation c = 120 + 60n. If the total cost was $360, for how many days was the sailboat rented? 2 4 6 D. 8 12 A5.0 CST Algebra

Which is the first incorrect step in the solution shown above? Solve: 3(x + 5) = 2x + 35 Step 1: 3x + 15 = 2x + 35 Step 2: 5x + 15 = 35 Step 3: 5x = 20 Step 4: x = 4 Which is the first incorrect step in the solution shown above? Step 1 Step 2 Step 3 D. Step 4 13 A5.0 CST Algebra

A 120-foot-long rope is cut into 3 pieces A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope? 20 feet 40 feet 60 feet 80 feet 14 A5.0 CST Algebra

The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day? 2.5 hours 3.7 hours 7.0 hours 13.0 hours 15 A5.0 CST Algebra

What is the solution to the inequality x – 5 > 14 ? x > 9 16 A5.0 CST Algebra

The lengths of the sides of a triangle are y, y + 1, and 7 centimeters The lengths of the sides of a triangle are y, y + 1, and 7 centimeters. If the perimeter is 56 centimeters, what is the value of y? 24 25 31 32 17 A5.0 CST Algebra

A5.0 CST Algebra

Which number serves as a counterexample to the statement below? All positive integers are divisible by 2 or 3. 100 57 30 25 19 A24.1 CST Algebra

What is the conclusion of the statement in the box below? If = 4, then x = -2 or x = 2 A. = 4 x = -2 x = 2 x = -2 or x = 2 20 A24.2 CST Algebra

All good musicians are high school band members. Which of the following is a valid conclusion to the statement “If a student is a high school band member, then the student is a good musician”? All good musicians are high school band members. A student is a high school band member. All students are good musicians. All high school band members are good musicians. 21 A24.2 CST Algebra

The chart below shows an expression evaluated for four different values of x. Josiah concluded that for all positive values of x, produces a prime number. Which value of x serves as a counterexample to prove Josiah’s conclusion false? 5 11 16 21 22 X 1 7 2 11 6 47 61 A24.3 CST Algebra

John’s solution to an equation is shown below, Given: Step 1: (x + 2)(x + 3) = 0 Step 2: x + 2 = 0 or x + 3 = 0 Step 3: x = -2 or x = -3 Which property of real numbers did John use for Step 2? Multiplication property of equality Zero product property of multiplication Commutative property of multiplication Distributive property of multiplication over addition 23 A25.1 CST Algebra

Stan’s solution to an equation is shown below, Given: n + 8(n + 20) = 110 Step 1: n + 8n + 20 = 110 Step 2: 9n + 20 = 110 Step 3: 9n = 110 – 20 Step 4: 9n = 90 Step 5: Step 6: n = 10 Which statement about Stan’s solution is true? Stan’s solution is correct. Stan made a mistake in Step 1. Stan made a mistake in Step 3. Stan made a mistake in Step 5. 24 A25.2 CST Algebra

The opposite of a number is less than the original number. When is this statement true? This statement is never true. This statement is always true. This statement is true for positive numbers. This statement is true for negative numbers. 25 The opposite of a number is less than the original number. A25.3 CST Algebra

What is the y-intercept of the graph of 4x + 2y = 12 -4 -2 6 12 26 A6.0 CST Algebra

Which inequality is shown on the graph below? A. B. C. D. 27 A6.0 CST Algebra

A6.0 CST Algebra

A6.0 CST Algebra

A6.0 CST Algebra

A6.0 CST Algebra

A6.0 CST Algebra

What point lies on the line defined by 3x + 6y = 2 ? ( 0, 2 ) ( 0, 6) ( 1, -1/6) ( 1, -1/3) 33 A7.0 CST Algebra

What is the equation of the line that has a slope of 4 and passes through the point (3, -10) ? y = 4x - 22 y = 4x + 22 y = 4x - 43 y = 4x + 43 34 A7.0 CST Algebra

The data in the table shows the cost of renting a bicycle by the hour, including a deposit. If hours, h, were graphed on the horizontal axis and cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data? c = 5h c = (1/5)h + 5 c = 5h + 5 c = 5h – 5 35 Hours (h) Cost in dollars ( c ) 2 15 5 30 8 45 A7.0 CST Algebra

Which of the following equations was used to generate the table above? Some ordered pairs for a linear function of x are given in the table below. Which of the following equations was used to generate the table above? y = 2x + 1 y = 2x - 1 y = 3x - 2 y = 4x - 3 36 X Y 1 3 7 5 13 19 A7.0 CST Algebra

A7.0 CST Algebra

Lines l and q have the same y-intercept. Lines l and q are parallel. The equation of line l is 6x + 5y = 3, and the equation of line q is 5x – 6y = 0. Which statement about the two lines is true? Lines l and q have the same y-intercept. Lines l and q are parallel. Lines l and q have the same x-intercept. Lines l and q are perpendicular. 38 A8.0 CST Algebra

Which equation represents a line that is parallel to ? A. B. C. D. 39 A8.0 CST Algebra

A9.0 CST Algebra

What is the solution to this system of equations? B. ( 1, -5 ) C. no solution D. infinitely many solutions 41 A9.0 CST Algebra

Which ordered pair is the solution to the system of equations below? x + 3y = 7 x + 2y = 10 A. B. C. ( -2, 3) D. ( 16, -3 ) 42 A9.0 CST Algebra

Marcy has a total of 100 dimes and quarters Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have? A. 27 B. 40 C. 56 D. 73 43 A9.0 CST Algebra

C. two lines intersecting in only one point Which of the following best describes the graph of this system of equations? y = -2x + 3 5y = -10x + 15 A. two identical lines B. two parallel lines C. two lines intersecting in only one point D. two lines intersecting in only two points 44 A9.0 CST Algebra

A9.0 CST Algebra

A9.0 CST Algebra

A. B. C. D. 47 A10.0 CST Algebra

A. B. C. D. 48 A10.0 CST Algebra

The sum of two binomials is. If one of the binomials is The sum of two binomials is . If one of the binomials is , what is the other binomial? A. B. C. D. 49 A10.0 CST Algebra

Which of the following expressions is equal to (x + 2) + (x – 2)(2x + 1)? A. B. C. D. 50 A10.0 CST Algebra

A volleyball court is shaped like a rectangle A volleyball court is shaped like a rectangle. It has a width of x meters and a length of 2x meters. Which expression gives the area of the court in square meters? A. 3x B. C. D. 51 A10.0 CST Algebra

A10.0 CST Algebra

Which is the factored form of A. (3a – 8b)(a – 6b) B. (3a – 16b)(a – 3b) C. 3(a – 4b)(a – 4b) D. 3(a – 8b)(a – 8b) 53 A11.0 CST Algebra

Which is a factor of ? A. x + 3 B. x - 3 C. x + 4 D. x - 4 A11.0 54 CST Algebra

Which of the following shows factored completely? B. (3t + 4)(3t + 1) C. (9t + 4)( t + 1) D. 55 A11.0 CST Algebra

What is the complete factorization of ? A. -8(2 + z)(2 – z) B. 8(2 + z)( 2 – z) C. D. 56 A11.0 CST Algebra

If. is added to x, the sum is 42 If is added to x, the sum is 42. Which of the following could be the value of x? A. -7 B. -6 C. 14 D. 42 57 A14.0 CST Algebra

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A12.0 CST Algebra

A12.0 CST Algebra

A12.0 CST Algebra

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A13.0 CST Algebra

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A15.0 CST Algebra

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