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# Single-Variable Expressions Practice Questions (page 2)

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Updated on Oct 3, 2011

#### Practice 2

1. Replace z with 9 and multiply:

–9(9) = –81

2. Replace u with 7:

4(7) – 3

Multiplication comes before subtraction in the order of operations, so multiply next:   4(7) = 28   The expression becomes 28 – 3.

Subtract: 28 – 3 = 25.

3. Replace g with –5:

–8 + 2(–5)

Multiply before adding:   2(–5) = –10

The expression becomes –8 + –10.

Add: –8 + –10 = –18.

4. Replace k with 20:

The expression becomes 5 + 30.

Add: 5 + 30 = 35.

5. Replace x with 1:

12(4 – 1)

Subtraction is in parentheses, so subtract before multiplying:

(4 – 1) = 3

The expression becomes 12(3).

Multiply: 12(3) = 36.

6. Replace q with –6:   (–6)2 + 15

Exponents come before addition in the order of operations, so handle the exponent first:

(–6)2 = 36

The expression becomes 36 + 15.

Add: 36 + 15 = 51.

7. Replace m with 4:

–8(4)2

Exponents come before multiplication, so handle the exponent first:

42= 16

The expression becomes –8(16).

Multiply: –8(16) = –128.

8. Replace d with 12:

4(12) ÷ 3 – 20

Multiply first:   4(12) = 48

The expression becomes 48 ÷ 3 – 20.

Division comes before subtraction:

48 ÷ 3 = 16   We are left with 16 – 20.

Subtract: 16 – 20 = –4.

9. Replace b with –2:

(2(–2) + 1)2

There is multiplication and addition inside the parentheses. Multiply first:

2(–2) = –4

The expression becomes (–4 + 1)2.

Because the addition is in parentheses, it must be done before the exponent is handled:

–4 + 1 = –3

We are left with (–3)2.

Finally, square –3: (–3)2 = 9.

10. Replace a with 3:

–5(3(3)2 – 24)

There is multiplication, an exponent, and subtraction inside the parentheses. Because exponents come before multiplication and subtraction, handle the exponent first:

(3)2 = 9

The expression becomes –5(3(9) – 24).

Multiplication inside the parentheses comes next:

3(9) = 27

The expression becomes –5(27 – 24).

The subtraction is in parentheses, so it must be done before the multiplication:

27 – 24 = 3   We are left with –5(3).

Multiply: –5(3) = –15.

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