Unit 1 Review

Simplify the following expression:

2 - (5x + 4)

• 5x - 2
• -5x - 2
• 5x + 6
• -5x - 6

Answer explanation

You're not distributing that 2, you need to distribute that negative sign first, then combine like-terms

Simplify the following expression:

2(-4x + 5) - 4(-2x - 5)

• -16x + 10

• 16x + 30

• 30

Answer explanation

Distribute the 2 and -4 first, then combine like-terms. You'll find the variable terms zero out

Translate this expression:

5 less than 4 times a number

• 4n - 5
• 5 - 4n
• 4n + 5
• 20n

Answer explanation

"less than" is a turn around phase, meaning you don't write it in the order you see it

Translate the following expression:

2 times the sum of a number and 4

• 2 * (x + 4)
• 2x + 4
• 2 + x + 4
• 2 * x + 4

Answer explanation

"sum of" or "difference between" is a parentheses phrase, so you need to have parentheses around the x and 4

Translate the following equation:

the quotient of 3 and a number is 5 times that same number

• 3 / x = 5x
• 3x = 5 / x
• x / 3 = 5x
• 3x = 5x

Answer explanation

remember "is" translates to an equal sign

Translate the following equation:

5 times the difference of 20 and a number is 6 less than that same number

• 5(20 - x) = x - 6
• 5(20 - x) = 6 - x
• 5(x - 20) = x - 6
• 5(x - 20) = 6 - x

Use order of operations to simplify:

2(4-5)-7

• -9
• -3
• 3
• 9

Answer explanation

PEMDAS

Use order of operation to simplify the following expression:

(5-3)^2+5*5

• 29
• 50
• 45
• 25

Solve the equation:

2(x-5)=10

• x = 10
• x = 5
• x = 0
• x = -5

Answer explanation

Divide 2 from both sides first, then add 5 to both sides to get x=10

Solve the equation:

2x-10=3(x-5)

• x = 5
• x = 10
• x = 15
• x = 20

Answer explanation

Distribute the 3 on the right hand side first, then get variables on one side and numbers on the other