Task Sets: Use variables to represent quantities and construct equations and inequalities to solve problems - Common Core Math - Grade 7

Recall / Warm-Up

Solve $8x = 56$ . What is the value of $x$ ?

$7$

$48$

$64$

$448$

Evaluate $-3.5 \times (-4)$ .

Which expression is equivalent to $5(x + 4)$ ?

$5x + 20$

$5x + 4$

$5x + 9$

$x + 20$

Fluency Practice

Solve $4x + 7 = 31$ . Enter the value of $x$ .

Solve $\dfrac{3}{4}x - 2 = 7$ . Enter the value of $x$ .

Solve $3(x + 5) = 24$ . Enter the value of $x$ .

$Two number lines comparing open circle (endpoint not included, for strict inequalities) vs. closed circle (endpoint included, for non-strict inequalities), both using a generic reference point with leftward arrows.$

Solve $2x + 1 < 7$ . How should the solution be shown on a number line?

Open circle at 3, shading to the left

Closed circle at 3, shading to the left

Open circle at 3, shading to the right

Open circle at 6, shading to the left

Solve $-2x + 3 \geq 9$ . Which inequality represents the solution?

$x \leq -3$

$x \geq -3$

$x \leq 3$

$x \geq 3$

Solving Equations and Inequalities

Recall / Warm-Up

Fluency Practice