MATH - HW SHEET 26

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

• 57g + 3

• 3g + 57

• 3g − 57

• 57 + 3g

A number squared increased by 1

• 1 + √2

• x² + 1

• x² − 1

• _{√2 + 1}

The difference of a number and 7

• 7 − x

• x + 7

• x/7

• x − 7

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

• 60 − 5d

• 60 − d

• 60 + 5d

• 5d − 60

Translate this phrase into an algebraic expression.

2 times the sum of a number and 15

Use the variable B to represent the unknown number.

• 2(B+15)

• 2B+15

• 2B×15

• 2×15B

The expression (l + m) (2m + p) − 2m (p + m) can be simplified as

• 2lm + lp
• 2lm + lp − 2mp 
• 2lm + lp + mp 
• 2lm + lp − mp 

What is the product of (x² − y²) and (3x + 2y)?

• 3x³ − 2y³ + 3x²y + 3xy²
• 3x³ + 2y³ - 2x²y − 3xy²
• 3x³ − 2y³ + 2x²y − 3xy²
• 3x³ − 3y³ + 2x²y − 3xy²

(x² - y²) × (x² + y²) = ______

• 2x² + 2y²
• x⁴ - y⁴
• x⁴ + y⁴
• 2x⁴

• none of these

Sunny earns $12, per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week?
Write your answer as an expression.

• 12 - x + 15
• 15 - x - 12
• 12x - 15 
• 15x + 12