Big Ideas Algebra Chapter 1 Review

Front

What is the formula for the perimeter of a rectangle?

Back

P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Front

If a rectangle has a perimeter of 182 in. and a length of 52 in., how do you find the width?

Back

Use the formula P = 2l + 2w. Rearrange to find w: w = (P/2) - l.

Front

Solve for w: P = 182 in., l = 52 in. What is w?

Back

w = 39 in.

Front

What does the absolute value symbol |x| represent?

Back

The distance of x from 0 on the number line, regardless of direction.

Front

Solve the equation: -5x = 25. What is x?

Back

x = -5.

Front

What is the distributive property?

Back

a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

What is equivalent to 5(2x + 6)?

Back

10x + 30.

Front

What is the first step in solving the expression: -12 ÷ 6 (-3) + 8?

Back

Perform the division first.

Front

What is the solution set for |m| + 2 = 11?

Back

m = 9 and m = -9.

Front

What is the first step in solving an equation?

Back

Isolate the variable by performing inverse operations.