Topic 5: Equations and Expressions
1. Multiply and simplify:
3𝑥
7
∙ 14
2. Rewrite using the distributive property:
−2x(x − 3)
4. Given x = −3, y = −2, z = 1 find the value of
2𝑥 2 – y + z
3. Rewrite using the distributive property:
5. Solve:
6. Solve:
x=
3𝑥
5
−2
5a – a + 2a
3x – 7 = 5x + 9
7. Substitute the given value, then solve for the other variable.
3x = y – 9
y=–6
8. Substitute the given value, then solve for the other variable.
𝑎
–2=b+6
b=–9
9. The equation for the perimeter, P, of a rectangle is P = 2l + 2w , where l is the length of
the rectangle and w is the width of the rectangle. If the perimeter is 50 meters and the
length is 10 meters, find the width.
10a. Write an equation which says 3 less than x is 10.
10b. Solve the equation from part a.
ANSWERS
1. 6x
2. –2𝑥 2 + 6x
3. 6a
4. 21
5. x = –5
6. x = –8
7. x = –5
8. a = 6
9. 15 meters
10a. x – 3 = 10
10b. x = 13
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