Task Sets: Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients - Common Core Math - Grade 7

1.

Simplify: $\frac{1}{2}x + \frac{1}{4}x$

A.

$\frac{3}{4}x$

B.

$\frac{1}{8}x$

C.

$\frac{1}{2}x^2$

D.

$\frac{3}{6}x$

2.

Simplify: $\frac{3}{4}x - \frac{1}{6}x$ . Express the coefficient as a fraction in simplest form.

3.

Simplify: $(\frac{5}{6}x + 3) - (\frac{1}{3}x + 1)$ . Write the simplified expression.

4.

Expand: $\frac{1}{3}(9x - 6)$ . Which is correct?

A.

$3x - 6$

B.

$3x - 2$

C.

$3x + 2$

D.

$9x - 6$

5.

Expand: $-\frac{2}{5}(10x + 15)$ . Write the simplified expression.

6.

Factor: $6x + 9$ . Which factored form is correct?

A.

$9(x + \frac{2}{3})$

B.

$6(x + \frac{9}{6})$

C.

$3(2x + 3)$

D.

$3(2x + 6)$

Adding, Subtracting, Factoring, and Expanding Linear Expressions with Rational Coefficients