Math 7 3A v1 SY25

Select all expressions that are equivalent to -2(y + 5) - 3y + 6

Step 1> -2(y + 5) - 3y + 6.

Step 2 Distribute > -2y - 10 - 3y + 6

Step 3 Combine like > -2y - 3y - 10 + 6

Step 4 final result > -5y - 4

• -5y - 4

• -2y + 5 - 3y + 6

• -10y

• -2y + (-10) - 3y + 6

• -2y - 3y + 6 - 10

Select all expressions that are equivalent to -3(x + 7) - 4x + 8.

Step 1> -3(x + 7) - 4x + 8.

Step 2 Distribute > -3x - 21 - 4x + 8.

Step 3 Combine like terms > -3x - 4x - 21 + 8.

Step 4 Final result > -7x - 13.

• -7x - 13

• -3x + 7 - 4x + 8

• -12x

• -3x + (-21) - 4x + 8

• -3x - 4x + 8 - 21

Select all expressions that are equivalent to -3(x + 7) - 4x + 8.

• -7x - 13

• -3x + 7 - 4x + 8

• -12x

• -3x + (-21) - 4x + 8

• -3x - 4x + 8 - 21

Select all expressions that are equivalent to -4(z + 6) - 5z + 9.

• -9z - 15

• -4z + 6 - 5z + 9

• -20z

• -4z + (-24) - 5z + 9

• -4z - 5z + 9 - 24

Emily is calculating a 30% sales tax. She should (a) ​ (a)   the total by 10 to find 10%, then multiply by (b) ​ (b)   to find 30%.

• 1.5
• 10
• multiply
• subtract
• Divide
• 3
• 5

Answer explanation

To find 30% of a total:
1️⃣ Divide by 10 to get 10% (since 10% = total ÷ 10).
2️⃣ Multiply by 3 to adjust from 10% to 30% (since 30% = 3 × 10%).

This method quickly estimates the tax amount without complex calculations.

Liam is calculating a 20% sales tax. He should (a) ​ (a)   the total by 10 to find 10%, then multiply by (b) ​ (b)   to find 20%.

• 1.5
• 10
• multiply
• subtract
• 5
• Divide
• 2

Answer explanation

To find 15% of a total:
1️⃣ Divide by 10 to get 10% (since 10% = total ÷ 10).
2️⃣ Multiply by 2 to adjust from 10% to 20% (since 20% = 2 × 10%).

This method quickly estimates the tax amount without complex calculations.

Sophia is calculating a 40% sales tax. She should (a) ​ (a)   the total by 10 to find 10%, then multiply by (b) ​ (b)   to find 40%.

• 1.5
• 10
• multiply
• subtract
• 5
• Divide
• 4

Which expression is equivalent to 4.8 - 7.2?

Step 1: Solve the given expression 4.8 - 7.2 = -2.4

• 7.2 - 4.8 = 2.4

• 4.8 + 7.2 = 12.0

• 4.8 + (-7.2)

  = 4.8 - 7.2

  = -2.4

• 4.8 - (-7.2)

  = 4.8 + 7.2

  = 12.0

Which expression is equivalent to 6.3 - 9.1?

Step 1: Solve the given expression

6.3 - 9.1 = -2.8

• 9.1 - 6.3 = 2.8

• 6.3 + 9.1 = 15.4

• 6.3 + (-9.1)

  = 6.3 - 9.1

  = -2.8

• 6.3 - (-9.1)

  = 6.3 + 9.1

  = 15.4

Which expression is equivalent to 5.7 - 8.4?

• 8.4 - 5.7

• 5.7 + 8.4

• 5.7 + (-8.4)

• 5.7 - (-8.4)