1) The document is a review for a quarter 1 algebra benchmark that contains 20 problems involving: writing algebraic expressions, simplifying expressions, evaluating expressions for given values, solving equations, and finding an unknown value given the perimeter of a shape. 2) The problems cover a wide range of algebra 1 topics like writing expressions, simplifying, evaluating, solving linear equations, and geometry word problems. 3) Answering the problems would help to prepare for a quarter 1 algebra benchmark exam focusing on foundational algebra 1 skills.

1. Algebra I CCP – Review for Quarter 1 Benchmark
Write an algebraic expression for each phrase below.
1. Five more than twice a number
2. Three less than the product of a number b and 5
3. The sum of a quotient p and 14 and the quotient of q and 3
Simplify each of the algebraic expressions below.
4. 4 [(2 • 9 ) + (15 ÷ 3)2 ]
5. [(42 - 32) • (4 + 2 • 3)] ÷ 10 – 5

2. 18 − 2 • 6 ÷ 4 + 1
6.
4 • (5 − 3) • 2
Circle the correct answer for each of the questions below.
7. Integers are rational numbers.
a.) always b.) sometimes c.) never
8. Order the fractions from least to greatest:
3 5 1
- , - and -
8 12 2
Write the function rules for each set of data below.
9. Write the function rule (algebraic expression) for the data below:
Time (hours) Cost of Rental
1 $12
2 $19
3 $26
4 $33

3. Time (hours) Miles Driven
1 60
2 120
3 180
4 240
10. Write the function rule (algebraic expression) to represent
the data in the table below:
Evaluate each of the following expressions.
11. Evaluate for a = -3, b = 4 and c = -2.
a2 – 4b - 5(c – a)
12. Evaluate for x = -5, y = -3 and z = 6.
2x2 – 2z + 4(z – y)

5. Simplify each of the following expressions:
13. -4[x + 5(-3xy + x)] – (10 + 15xy)
14. 4(11a – 8b) – 7(6a – 8b) + a – 2b
15. -2(5x2 – 9) – (3x − 17x2 + 12x – 6)
16. Simplify the expression for the perimeter of rectangle below:
2x + 1
3
x−2
2

6. Solve each of the following equations.
17. 2(3h + 2) – 4h = –16
7
18. − y + 4 = -31
8
1
19. –3d – (6 + 3d) = –10
3
20. The perimeter of your garden is 45 feet. The sketch of your garden is below. Find the
value of x for the dimensions below.
3x - 2
x-8