Algebraic expressions

Evaluating, collecting like terms, expanding brackets and absolute value — what you do to an expression before you solve one.

4 sheets · 40 questions · one answer key · 5 pages

Recommended for grades 6–7

Save as PDF Customize

Evaluate Sheet 1 of 4

Evaluate expressionsAnswers within 50

Name: Date:

Put the number in place of the letter, then work each one out.

1x = 53x =

2x = 104x − 4 =

3x = 83x + 11 =

4x = 311x =

5a = 10, b = 122a + b =

6a = 3, b = 106a + b =

7x = 2x² + 3 =

8x = 3x² + 19 =

9x = 57x − 11 =

10x = 38x + 20 =

Collect like termsNumbers within 20

Name: Date:

Collect the like terms.

110x + 11 − 7x − 4

29 + 3x + 4 + 9x

311x + 8 − 9x

42x + 9x + 3

59 + 3x + 7 + 9x

612x + 8 − 10x

78x + 13 − 4x

86x + 3x + 8

98 + 3x + 9 + 3x

1011x + 17 − x − 15

Multiply out bracketsNumbers within 50

Name: Date:

Multiply out each bracket.

17(7 + 5x)

24(9x − 9)

32(6 + 5x)

42(x + 7)

53(10 + 3x)

63(x − 2)

74(8x + 2)

84(9x − 12)

92(11 + x)

103(5x + 3)

Absolute valueNumbers within 20

Name: Date:

Work out each one. The bars ask how far the number is from zero.

1How far apart are −7 and 6 on the number line?

2|3 − 19|

3How far apart are −3 and 1 on the number line?

4|−11|

5|10| + |−2|

6|−20|

7|6 − 11|

8|−7| + |8|

9|4 − 17|

10|−8| + |3|

Power Pack · Algebraic expressionsAnswer key

Evaluate

1. 3x (x = 5) → 152. 4x − 4 (x = 10) → 363. 3x + 11 (x = 8) → 354. 11x (x = 3) → 335. 2a + b (a = 10, b = 12) → 326. 6a + b (a = 3, b = 10) → 287. x² + 3 (x = 2) → 78. x² + 19 (x = 3) → 289. 7x − 11 (x = 5) → 2410. 8x + 20 (x = 3) → 44

Like terms

1. 10x + 11 − 7x − 4 → 3x + 72. 9 + 3x + 4 + 9x → 12x + 133. 11x + 8 − 9x → 2x + 84. 2x + 9x + 3 → 11x + 35. 9 + 3x + 7 + 9x → 12x + 166. 12x + 8 − 10x → 2x + 87. 8x + 13 − 4x → 4x + 138. 6x + 3x + 8 → 9x + 89. 8 + 3x + 9 + 3x → 6x + 1710. 11x + 17 − x − 15 → 10x + 2

Brackets

1. 7(7 + 5x) → 35x + 492. 4(9x − 9) → 36x − 363. 2(6 + 5x) → 10x + 124. 2(x + 7) → 2x + 145. 3(10 + 3x) → 9x + 306. 3(x − 2) → 3x − 67. 4(8x + 2) → 32x + 88. 4(9x − 12) → 36x − 489. 2(11 + x) → 2x + 2210. 3(5x + 3) → 15x + 9

Absolute value

1. How far apart are −7 and 6 on the number line? → 132. |3 − 19| → 163. How far apart are −3 and 1 on the number line? → 44. |−11| → 115. |10| + |−2| → 126. |−20| → 207. |6 − 11| → 58. |−7| + |8| → 159. |4 − 17| → 1310. |−8| + |3| → 11

Algebraic expressions

What is in the pack

The algebra track

More Grades 5–7 packs