Question

warm-up
simplify each algebraic expression. drag the tiles to the correct boxes to complete the pairs.
tiles
-5x - 2 5x + 2 5x - 2 -5x + 2
pairs
12x + 8 - 7x - 10
\frac{17}{3}x + 17 - \frac{2}{3}x - 15
8 - 12x - 10 + 7x
9 - \frac{9}{2}x - \frac{1}{2}x - 7

Explanation:

Step1: Simplify \(12x + 8 - 7x - 10\)

Combine like terms: \((12x - 7x)+(8 - 10)=5x - 2\)

Step2: Simplify \(\frac{17}{3}x + 17 - \frac{2}{3}x - 15\)

Combine like terms: \((\frac{17}{3}x-\frac{2}{3}x)+(17 - 15)=5x + 2\)

Step3: Simplify \(8 - 12x - 10 + 7x\)

Combine like terms: \((-12x + 7x)+(8 - 10)=-5x - 2\)

Step4: Simplify \(9 - \frac{9}{2}x - \frac{1}{2}x - 7\)

Combine like terms: \((-\frac{9}{2}x-\frac{1}{2}x)+(9 - 7)=-5x + 2\)

Answer:

\(12x + 8 - 7x - 10\) pairs with \(5x - 2\)
\(\frac{17}{3}x + 17 - \frac{2}{3}x - 15\) pairs with \(5x + 2\)
\(8 - 12x - 10 + 7x\) pairs with \(-5x - 2\)
\(9 - \frac{9}{2}x - \frac{1}{2}x - 7\) pairs with \(-5x + 2\)