SBAC Review

Algebraic Equations

100

Simplify -2(3x - 1) + 2x

-4x + 2

200

Ally has 1 fewer than twice the number of goals as Priscilla. If A is the number of goals Ally has and P is the number of goals Priscilla has, write an equation to represent the the amount of goals that Ally has.

A. P = 2(A - 1)

B. P = 2A - 1

C. A = 2(P - 1)

D. A = 2P - 1

D. A = 2P - 1

300

Gerson just started a new job where he prepares paperwork for new patients. For each new patient, he must print 6 forms. He also must print 2 additional forms to fill out himself, certifying the filing process. If he prints a total of 110 forms, how may new patients are there?

18

400

Solve the system of equations:

3x + y = 1

x - 2y = -9

(Hint: Your answer will be an ordered pair)

(-1 , 4)

Algebraic Inequalities

100

Solve -2(x - 6) + 2 ≥ 0

x ≤ 7

200

Nathan and Dilantha requested that the school spend $500 on each person on the track team plus a one time fee of $2500 for the whole team. If r is the number of runners on the team and the school wants to spend no more than $10,000, which inequality relates the number of runners to the total budget?

A. 500r + 2,500 < 10,000

B. 500r + 2,500 ≤ 10,000

C. (500 + 2,500)r < 10,000

D. (500 + 2,500)r ≤ 10,000

B. 500r + 2,500 ≤ 10,000

300

Given that (r , s) is in Quadrant III, what is true about r and s?

A. rs < 0

B. rs > 0

C. r + s = 0

D. r + s > 0

B. rs > 0

400

Which integer is a solution to both 2x + 1 > 3 and 2 ≤ 4 - x ?

2

Quadratic Equations

100

How many real solutions does the quadratic equation x² - 2x + 1 = 0 have?

1

200

Use the quadratic formula to solve -x² + 5x - 2 = 0. (Do not evaluate)

x = ( 5 ± √(17) ) / (2)

300

Under which set of conditions is ax² + bx + c = dx² + ex + f NOT a quadratic equation?

A. d = 0

B. a = d

C. b = e

D. d = e = f = 0

B. a = d

400

A quadratic function f(x) can be written in the factored form f(x) = 2(x - m)(x - n). If one zero of f(x) is -2 and f(1) = 24, what is the second zero?

-3

Geometry

100

See Geometry #1

348 ft²

200

See Geometry #2

$3.10

300

A box is 6 inches long, 5 inches wide, and 2 inches tall, but it has no top. How much cardboard will be required to construct another box with the same dimensions? 

74 in²

400

A circle has a circumference of 16 mm. What is the area of the circle?

64/𝝅 mm² or 20.372 mm²

Trigonometry

100

If a right triangle has one leg that measures 9 inches and a hypotenuse that measures 16 inches, what is the length of the other leg?

5√7 inches or 13.229 inches

200

See Trigonometry #1

62°

300

See Trigonometry #2

4.5

400

A right triangle has an angle ɑ such that sin ɑ = 5/13. What is cos ɑ?

12/13