CC Algebra Review #1B
Name: _____________________________________
SKIP Question 1
1) In the expression 5𝑥 3 − 8𝑥 2 + 2𝑥 + 7, what is the coefficient of the quadratic term?
(2) −8
(1) 5
(3) 2
(4) 7
2) If n represents a number, which equation is a correct translation of “Fifty more than 8 times a number is 275”
(1) 8𝑛 = 275
(2) 8𝑛 + 50 = 275
(3) 8𝑛 − 50 = 275
(4) 50𝑛 + 8 = 275
1
3) Which ordered pair is not in the solution set of 𝑦 > − 2 𝑥 + 5 and 𝑦 ≤ 3𝑥 − 2 ?
(1) (5,3)
(2) (4,3)
(3) (3,4)
(4) (4,4)
4) What is the slope of line whose equation is y = −2𝑥 − 10 ?
(1)
1
−2
(2)
−10
(3)
2
(4)
−2
(3)
3
(4)
7
5) Which value of 𝑥 is the solution of 5𝑥 − 1 = 2𝑥 + 20?
(1)
19
7
(2)
19
3
6) The statement −16 + 16 = 0 is an example of the use of which property of real numbers?
(1) Associative
(2) Commutative
(3) Additive Inverse
(4) Additive Identity
7) Which statement is true about the data set: 3, 4, 5, 6, 7, 7, 10 ?
(1) mean = mode
(2)
mean = median
(3) mean > mode
(4)
mean < median
8) Samantha’s Zumba dance class exercises to fast-paced Latin music. If the rate of the music is 120 beats per
minute, how many beats would there be in a class that is 0.75 hour long?
(1) 90
(2) 7,200
(3) 5,400
(4) 160
9) Which data set describes a situation that could be classified as qualitative?
(1) the elevations of the ten highest Adirondack Mountain peaks
(2) the ages of baseball players at the time of their rookie season
(3) the opinions of students regarding school lunch menus
(4) the shoe sizes of players on the lacrosse team
10) Mrs. Anderson is describing a function to her students. She says that the output is equal to six less than
triple the input. Which of the following equations models this relationship?
(1)
𝑓(𝑥) = 3(𝑥 − 6)
(2)
𝑓(𝑥) = 6 − 3𝑥
(3)
𝑓(𝑥) = 3𝑥 − 6
(4)
𝑓(𝑥) = 3(6 − 𝑥)
11) Which relation is not a function? ( Do you remember this from last year?)
(1) {(0, 9), (3, 2), (4, 5), (−4, 5)}
(2) {(−9, −4), (−5, 6), (3, −4), (−3, 6)}
(3) {(−1, 2)(−3, 2), (−4, 2), (6, 2)}
(4) {(2, 3), (4, −3), (4, −6), (5, 0)}
12) What is the value of the range of the data set below?
Test scores: 75, 72, 89, 97, 87, 91, 93, 72, 68
(1) 9
(2)
77
(3)
29
(4)
87
13) Which two variables have the highest causal relationship?
(1) Shoe size and the number of shoes you own
(2) The speed you are driving at and the time it takes you to get to a destination
(3) Income and favorite color
(4) Hours spent studying and the size of your home
14)
Open response: a) show ratio
b) convert to a percent
15) Solve for x in the following equation: 𝑎𝑥 − 7𝑥 − 3 = 12.
(1) 𝑥 =
−10
𝑎
(2) 𝑥 =
9
(3) 𝑥 =
𝑎−7
15
𝑎−7
(4)
𝑥=
15
𝑎+7
16) Solve the following system of equations: 2𝑦 − 2𝑥 = 8
𝑦 = 2𝑥 − 6
BONUS: (you may have done this at the end of last year)
17) The length of a rectangle is represented by the expression (𝑥 + 4) and the width of the rectangle is
represented by the expression (2𝑥 − 6). Find the polynomial expression in simplest form, that represents the
area of the rectangle.