Algebra 1
Review Quiz 8
21 points
Name__________________________
Date___________________________
_____=______%
21
Part I
Answer all questions in this part. Each correct answer will receive 2 credits. No partial credit will be
allowed. For each question, write on the line provided the numeral preceding the word or expression
that best completes the statement or answers the question. [14]
1. Multiply the two binomials below.
(1) 4x2 + 9
(2) 4x2 – 9
(2x – 3)(2x + 3)
(3) 4x2 – 6x – 9
(4) 4x2 – 12x + 9
1.__________
2. Lorelai and Rory each bake cookies for a party. Lorelai bakes 3 times as many cookies as Rory. Rory
bakes 24 fewer cookies than Lorelai. Lorelai bakes L cookies and Rory bakes R cookies. What pair of
equations can be used to determine the number of cookies Lorelai and Rory bake?
(1) L = 3(R + 24)
(3) L = 3R
R = L – 24
R = L – 24
(2) L = 3R
(4) R = 3L
R = 24 – L
L = R – 24
2.__________
3. A number, n, divided by 2 is less than or equal to the product of n and 3. What inequality represents
this relationship?
𝑛
𝑛
(1) ≥ 3𝑛
(3) ≥ 𝑛 + 3
(2)
2
𝑛
2
≤ 3𝑛
(4)
2
𝑛
2
≤ 𝑛+3
3.__________
4. Simplify the expression below.
2 2
(1) 10x y – 9xy
(2) 20x2y2 – xy
(3x2y – 5xy + 12xy2) – (5xy2 + 4xy)
(3) 3x2y – 9xy + 17xy2
(4) 3x2y – 9xy + 7xy2
4.__________
5. What is the value of n in the equation 0.6(n + 10) = 3.6?
(1) –0.4
(3) –4
(2) 5
(4) 4
5.__________
1
6. Which inequality is represented in the accompanying graph?
–3
(1) −3 ≤ 𝑥 < 4
(2) −3 ≤ 𝑥 ≤ 4
0
4
(3) −3 < 𝑥 < 4
(4) −3 < 𝑥 ≤ 4
6.__________
7. When 72 is expressed in simplest 𝑎 𝑏 form, what is the value of a?
(1) 6
(3) 3
(2) 2
(4) 8
7.__________
Part II
Answer all questions in this part. Each correct answer will receive 3 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [3]
8. Rory is trying to write two equations. She wants to express both the perimeter and the area of the
rectangle shown in the accompanying diagram as polynomials in simplest form. What are the
equations Rory should write?
x–4
x+6
2
Part III
Answer all questions in this part. Each correct answer will receive 4 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [4]
9. Solve the following system of equations graphically.
2
𝑦 = 𝑥+4
3
3𝑦 + 4𝑥 = −6
3