Math 120 - Chapter 1 Review
1. Simplify the expression: 4(5x - 4) - 2(x - 2)
2. Evaluate the expression for x = 5:
x+ 7
2x - 8
3. Solve 7(k + 4) - (6k + 4) = 5
4. Solve A = P(1 + nr) for r
5. Solve P = 2L + 2W for W
6. Write as an eqauaiton. Do not solve. If 4 times a number is added to -8, the result equals 12 times the number.
7. Find the slope of the line that goes through the points (5, -25) and (-6, 8).
8. Find the slope and y-intercept of the line -x + 5y - 50 = 0
9. Find the y-intercept of 5x2 - 4y - 44 = 11xy + 3x
10. Solve 21x + 14(x + 1) = 35(x + 1) - 21
11. Solve -5(2x + 3) ≥ 2[3x - 2(x - 2)]
12. Solve
x +8 x - 3
+
=4
2
4
13. Are the lines 20x - 4y = 3 and 5x - y = 12 are parallel, perpendicular, or neither.?
14. Find the equation of the line with slope m = -
2
, that contains the point (5, 3). Express in slope-intercept form.
9
15. Graph 2x + y = 8 . Find and label at least 3 points on the line, including both x and y intercepts.
16. Graph the inequality on the axis provided: y > 4x/3 + 5
17. Find the equation of the line passing through (-8,2) and (4, 1). Express the answer in slope-intercept form.
18. The manager of a coffee shop has one type of coffee that sells for $6 per pound and another type that sells for $9 per
pound. The manager wishes to mix 80 pounds of the $9 coffee to get a mixture that will sell for $7 per pound. How
many pounds of the $6 coffee should be used?
19. The volume of a cone is V = Bh/3, where B is the area of the base of the cone and h is the height of the cone. Use
the formula to find the area of the base of the cone with volume 36 cubic cm and height 4 cm. .
20. Find a system of inequalities that describe the region inside the triangle with vertices (-8,0) , (0,12) , and (4,0).
Math 120 Chapter 1 Review Solutions
1. 18x - 12
2. 6
3. {- 19}
A-P
4. r =
Pn
5. W =
17. y = 18. 160 pounds
19. B = 27 square centimeters
20.
y
P - 2L
2
9. m =
10.
11.
-4
-8
-4
4
8
12 x
-4
; identity
23
23
x|x ≤ ; -∞, 12
12
-5
4
-12
11
, y-intercept: (0, -11)
4
-6
8
-8
-12
12
6. 4x + (-8) = 12x
7. -3
1
8. m = , y-intercept: (0, 10)
5
1
4
x+
12
3
-3
-2
-1
0
1
2
12. {1}
13. parallel
2
37
14. y = - x +
9
9
15.
y
10
5
-10
-5
5
10 x
5
10 x
-5
-10
16.
y
10
5
-10
-5
-5
-10
A-5