Question

linear equations study guide
solve each of the problems below be sure to ask questions if you need more help with a topic.
i can simplify expressions by combining like terms.

1. simplify the expression.

-17b + a - 23b + 24a - 10

1. simplify the expression.

6.2 + 8.9w - 12 - 11.2w - 6.2

1. simplify the expression.

13/8 p + 5/8 p - 1/8 p

1. michelle simplified an expression for the perimeter of the rectangle below and got 5/8 x + 35.

explain her error and include the correct expression for the perimeter.
michelles error was that she did not distribute the 2 to both terms inside the 5/8 x + 23
parentheses. she only added the width and 12
length once instead of doubling. the correct
answer is 5/8 x + 70.
i can simplify expressions by expanding with the distributive property.

1. simplify the expression.

15 - 8(3x - 7) + x

1. simplify the expression.

4/3(15x + 30) + 5

1. simplify the expression.

-12 + 0.6(50 - 11x) + 2.6x

1. write an expression for the area of the rectangle in problem #4.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = \text{length}\times\text{width}\).

Step2: Identify the length and width from problem 4

From problem 4, the length is \(\frac{5}{8}x + 23\) and the width is \(12\).

Step3: Apply the distributive property

$$
LATEXBLOCK0
$$

Answer:

\(\frac{15}{2}x + 276\)