Act Algebra Math Review

What is the greatest common factor of 42, 126, and 210 ?

• 2

• 6

• 14

• 210

• 42

• 8

• 16

• 24

• 32

Tags

CCSS.7.G.B.4

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

• 15

• 25

• 50

• 100

• 125

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the slope of any line parallel to the line 9x + 4y = 7 ?

• -9

• 7

• 9

Tags

CCSS.8.EE.B.5

Simplify the expression

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

Michael is trying to solve a puzzle where he needs to find two numbers. The first number is twice the second number, and their sum is -15. What are the numbers?

Let the first number be y and the second number be x.

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Answer explanation

Substituting x = 3y into 2y + x = -15 gives 2y + 3y = -15. This simplifies to 5y = -15, so y = -3. Then, x = 3(-3) = -9. The solution is (-9, -3).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Noah has 10 apples. He gives away m apples to his friends. Write an algebraic expression for the number of apples Noah has left.

• 10 = m

• 10 + m

• 10 x m

• 10 - m

Answer explanation

The phrase '10 decreased by m' indicates subtraction. Therefore, the correct algebraic expression is 10 - m, which represents taking m away from 10.

Tags

CCSS.HSA-SSE.A.1A

Elijah has four times the number of apples as Aria, plus six more apples, making a total of 30 apples. How can we express this mathematically?

• 4 + 6 = 30

• 4x + 6 = 30

• x + 4 times 6 = 30

• 30 = 4x

Answer explanation

The phrase 'four times a number' translates to '4x', where 'x' is the number. Adding six gives '4x + 6'. Setting this equal to 30 results in the equation '4x + 6 = 30', which is the correct choice.

Isla is trying to solve an equation where the number of apples she has plus 5, divided by 10, equals the number of apples she has minus 12, divided by 9. How many apples does Isla have?

• 165

• 17

• 1/17

• 1/165

Answer explanation

To solve the problem, we find that the correct answer is 165. This choice is derived from the calculations or context provided in the question, confirming that 165 is the valid solution.

Tags

CCSS.8.EE.C.7B

Rohan is trying to solve a math problem where the equation is:

\( \frac{2x - 3}{4} = 9 \)

What is the value of \( x \)?

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Answer explanation

To solve for x, we can set up the equation based on the problem context. After simplifying, we find that x = 19.5 is the solution that satisfies the equation, making it the correct choice.

Tags

CCSS.7.EE.B.4A