ACT Review #7

On the first day of school, Mr. Vilani gave his third-grade students 5 new words to spell. On each day of school after that, he gave the students 3 new words to spell. In the first 20 days of school, how many new words had he given the students to spell?

• 28

• 62

• 65

• 68

• 152

Tags

CCSS.3.OA.A.3

Which of the following is equivalent to (4x²)³ ?

• 64x⁸

• 64x⁶

• 12x⁶

• 12x⁵

• 4x⁶

Tags

CCSS.6.EE.A.1

What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively?

• √13

• √85

• 13

• 21

• 42

Tags

CCSS.8.G.B.7

Leticia went into Discount Music to price CDs. All CDs were discounted 23% off the marked price. Leticia wanted to program her calculator so she could input the marked price and the discounted price would be the output. Which of the following is an expression for the discounted price on a marked price of p dollars?

• p − 0.23p

• p − 0.23

• p − 23p

• p − 23

• 0.23p

Tags

CCSS.HSA-SSE.A.1A

The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy ?

• 3

• 5

• 8

• 24

• 55

For all x, (3x + 7)² = ?

• 6x + 14

• 6x^2 + 14

• 9x² +49

• 9x² + 21x + 49

• 9x² + 42x + 49

Tags

CCSS.HSA.APR.C.4

What is the slope of the line through

(-5, 2) and (6, 7) in the standard (x, y) coordinate plane?

• 9

• 5

• -5

• ⁵⁄₁₁

• -⁵⁄₁₁

Tags

CCSS.8.EE.B.5

A function P is defined as follows:

for x > 0, P(x) = x⁵ + x⁴ − 36x − 36

for x < 0, P(x) = −x⁵ + x⁴ + 36x − 36

What is the value of P(−1) ?

• -70

• -36

• 0

• 36

• 70

Tags

CCSS.HSF.IF.A.2

The triangle, ΔXYZ, shown above, has side lengths of x, y, and z inches and is not a right triangle. Let X' be the image of X when the triangle is reflected across Y̅Z̅. Which of the following is an expression for the perimeter, in inches, of quadrilateral X'YXZ ?

• 2(y + z) + x

• 2(x + y + z)

• 2(x + y)

• 2(x + z)

• 2(y + z)

Tags

CCSS.8.G.A.3

Two numbers are reciprocals if their product is equal to 1. If x and y are reciprocals and x > 1, then y must be:

• less than -1.

• between 0 and -1.

• equal to 0.

• between 0 and 1.

• greater than 1.