1. How many like terms are in the expression?

14 x - 14 y + 7 - x + z + 2 x
0
2
3
5

2.Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
The factors common to 20a and 15ab are 1, 5, a, and b.
The factors common to 20a and 15ab are 1, 5, and a.
The factors common to 20a and 24b are 1, 2, and 4.
The GCF of the expression is ab.
The GCF of the expression is 1

3. Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.

4. Which expressions are equivalent to 5 x - 15? Select three options.
5 (x + 15)
5 (x minus 3)
4 x + 3 y minus 15 minus 3 y + x
Negative 7 y minus 6 x minus 8 y + x
Negative 20 minus 3 x + 5 + 8 x

5. Which expression is equivalent to Negative 6 (3 x minus two-thirds)?
Negative 2 x + 9
Negative 3 x minus 6 and two-thirds
Negative 18 x + 12
Negative 18 x + 4

6. Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?
6 a minus 2 b + 11
6 a minus 4 b + 3
6 a minus 2 b + 3
6 a minus 4 b + 11

7. After substituting, what is the first step when evaluating StartFraction 4 y + 9 over 7 EndFraction when y = 8?
Add 4 and 9.
Multiply 8 by 4.
Divide 9 by 7.
Divide 4 by 7.

8. Which expression is equivalent to 6 x + 8?
2 (3 x minus 4)
2 (3 x + 4)
2 (4 x + 6)
2 (3 x + 8)