HACC: Math for College Readiness
Semester 1
Name ________________________
Date______________Period______
Midterm: Units 1-3
Write all answers on the blanks provided. SHOW ALL WORK FOR CREDIT!
1. Write 80 in prime factored form.
________________________
Find the GCF and LCM of each.
2. 24 and 36
2. GCF ________
LCM _________
3. 12 and 54
3. GCF ________
LCM _________
4. Write an inequality to compare 1/8 and 14/21
_________________________
Convert each percent to a decimal and a fraction. Simplify all fractions. Do not leave decimals in
fractions.
5. 33%
6. 54%
D = _______ F = ________
D = _______ F = ________
Convert each fraction to a decimal and a percent. Simply your answers. Do not leave decimals in
fractions.
7. 5/9
D = _______ P = ________
8. 3/5
9. 11/12
D = _______ P = ________
D = _______ P = ________
Add or subtract for problems 10-15. Simplify your answers.
10.
5
3
+
8
8
_________________
11.
3
5
+
6
10
___________________
12. 2
1
2
- 6
4
9
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Math for College Readiness
Solve.
13.
1
4
×
5
3
____________________
Semester 1
14. 3
1
2
÷ 2
8
5
15. 3
___________________
1
5
× 1
5
7
_________________
Translate each situation into an algebraic expression, and evaluate for the variable.
16. You leave an 17% tip for a meal that costs d dollars. How much was the tip? Evaluate for d = 52.
_______________________________
Combine like terms.
2
1
xx
7
4
17. 5x + 15 - 12x – 6
18.
___________________
_____________________
Solve each equation for x.
19. x +
5
2
=
8
5
x = ____________________
20.
3
x – 20 = 10
4
x = ______________________
Write and solve an equation for problems 29 and 30.
21. Kevin makes $11.50 per hour. If his weekly wages are $299, how many hours does he work per week?
____________________________________
22. Hillary joins a gym. She pay $25 per month plus $13.75 for each personal training session she does. If her
monthly bill is $190, how many personal training sessions did she get that month?
______________________________________
Math for College Readiness
Semester 1
Perform the indicated operation.
23. -36 + (- 42) + 105
________________________
−5
25. – 12 (
6
2
+ 5)
________________________
− 600
24.
−10
________________________
−42
26. – 0.80 (
3
)
________________________
Solve each equation.
27. 2(5y - 5) = 5y – 15
________________________
29.
1
1
(6x - 1) + = - 2x - 5
2
2
________________________
28. -(x - 5) + 3(x + 2) = 4(x - 3) – 1
_________________________
30. 42 y  6  2 4 y  10
__________________________
Solve each inequality.
31. 2(r - 2) < 3r + 4
________________________
33. 7  5y - 3  12
________________________
32. .
2
 3x  1  5
3
___________________________
1
34. – 2 < – 2 – x < 1
2
________________________
Math for College Readiness
Find the slope and y-intercept. Then determine the linear function.
35.
Semester 1
36.
m =________________________
m =________________________
b =________________________
b =________________________
linear function_______________________
linear function________________________
Find the slope and y-intercept for the pair of points. Then write an equation of the line in slope-intercept
form AND standard form.
37. (4, -10) and (15, -3)
38. (-6, 9) and (5, 18)
m =__________
m =__________
b = __________
b = __________
slope-intercept form ____________
slope-intercept form ____________
standard form _________________
standard form _________________
39. (-3, -4) and (-4, -12)
m = _________
b = __________
slope-intercept form ____________
standard form _________________
Solve each system of equations. You can use substitution or elimination.
40.
4 x  5 y  15
 2 x  3 y  5
41.
5x  4 y  6
10 x  3 y  8
x = ____
x = ____
y = ____
y = ____
Math for College Readiness
42.
 x  6 y  39
x  3 y  18
Semester 1
43.
3 y  2 x  4
7 x  3 y  14
x = ____
x = ____
y = ____
y = ____
Solve the problems.
44. John is scuba diving at a depth of 75 feet below sea level when he spots something further down in the
water. He dives another 150 feet to investigate. At what depth is he below sea level when he finds what
he is looking for?
____________
45. You can rent a boat from Shop A for a $200 fee plus $25 an hour or from Shop B for a $120 fee plus
$35 an hour. At what hour is the rental cost the same for both shops?
____________
46. Determine the equation of the line that is perpendicular to the line y = 5x + 5 and passes through the
point (3, - 7).
____________
Solve for the following unknowns.
47. What is 18.5% of 139?
________________
48. 127% of $867 is what amount?
________________
49. 58 is what percent of 89?
________________
Math for College Readiness
Semester 1
50. $125 is 42% of what amount?
________________
51. A license cost $75. If the cost increases 3.5%, what is the new cost of this license?
________________
52. If sales tax is 7.5%, what would be the price of a pair of shoes with a price of $108?
________________
53. Adams Clothing Store buys coats for $50 and then sells them for $80. What is the percent of mark up on
the price of the coat?
______________
54. Ali’s average in Math for the first nine weeks was an 88. Her second nine weeks average decreased 12.5%.
What was her average for the second nine weeks?
________________
55. In 1967, a 30-second Super Bowl commercial cost $40,000. In 2000, a 30-second commercial cost
$1,800,000. What was the percent of change in the cost of a commercial?
________________
56. A manufacturing company with 450 employees begins a new product line and must increase their number of
employees by 18%. How many total employees does the company now have?
________________
57. Jenni, an employee of Hollister, bought a sweater originally priced at $55 for $38.50 after her employee
discount. What percent off is the employee discount?
________________
Math for College Readiness
Semester 1
Use the properties of exponents to simplify each expression. Write all answers as positive exponents.
5
 
7
58) 8 8
_______
 
3 1
59) 5
_______
60. x
10
y 21
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