Division of Academics - Department of Mathematics
Algebra 1 Magic 20 - Set 4
1. Solve for 𝑥.
a) 25+10(12−𝑥)=5(2𝑥−7)
b) 6+2𝑥>20 or 8+𝑥≤0
2. Which of the following tables represent functions?
A. II only
B. I and IV only
C. III and IV only
D. I, III, and IV only
3. If 𝑓 (𝑥 ) = −4𝑥 − 11, what is 𝑓 (5)?
A. -15
B. -9
C. -31
D. -20
4. Perform the indicated operation.
3√27+2√3−√12
5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15 ≤ 𝑥 ≤ 25
B. All real numbers such that 180 ≤ 𝑥 ≤ 300
C. All real numbers
D. All real numbers such that 𝑥 ≥ 0
6. Which point(s) lie on the line whose equation is
−4𝑥 + 5𝑦 − 12 = 8? Select all that apply.
A. (5,0)
B. (−2,2.4)
C. (8,5)
D. (10,12)
E. (0,4)
7. Joe was given $20 for his birthday. He then saved
$10 per week from his allowance. Write a function
to represent this situation.
A. 𝑆(𝑤)=10𝑤−20
B. 𝑆(𝑤)=10𝑤+20
C. 𝑆(𝑤)=20𝑥−10
D. 𝑆(𝑤)=20(𝑥+10)
8. The equation 𝑉(𝑡)=12,000(0.75)𝑡 represents the
value of a motorcycle 𝑡 years after it was
purchased. Which statement is true?
A. The motorcycle cost $9000 when purchased.
B. The motorcycle cost $12,000 when purchased.
C. The motorcycle’s value is decreasing at a rate of
75% each year.
D. The motorcycle’s value is decreasing at a rate of
0.25% each year.
9. Which ordered pair is a solution of the system of
inequalities below?
{𝑦>−3
2𝑥+2
−𝑥−2𝑦<−8
A. (2,8)
B. (3,2)
C. (−3,6)
D. (−2,5)
Input
Output
1
4
2
3
3
2
4
1
Input
Output
1
1
2
2
3
3
3
4
Input
Output
−1
2
0
2
1
3
5
3
Input
Output
−4
3
0
1
2
12
4
7
𝑥 =
I
II
III IV
