Algebra 1 Back to Book Review 2 Lessons 16-30
Short Answer
1. The students in the astronomy club are selling snacks to raise money for a planetarium field trip. If they sell x
muffins at $0.35 apiece and y bags of carrot sticks at $0.15 apiece, the total number of dollars raised will be
. How many dollars will they raise if they sell 210 muffins and 120 bags of carrot sticks?
2. Write a word phrase for the algebraic expression.
3. Solve
1
1
n – = 1.
2
3
4. Simplify –3
+6
5. Evaluate
6. If
+8
–3–5
.
for x = 8 and y = 6.
, then x equals
7. Express the perimeter of the following rectangle in terms of n.
3n – 9
n+4
8. Solve
.
9. State whether y = 40 is a solution to 25 = y – 5.
10. Solve
.
11. Solve 8s = 160.
12. The formula for the simple interest where P is the principal, r is the interest rate, and t is time, is I = Prt. Solve for
t.
13. Write the phrase “8 less than t” as an algebraic expression.
14. Solve
.
15. 0.41 of 32 is what number?
16.
equals
17. Solve for p:
.
18. Simplify 2z + 9 – z + 3.
75
70
65
60
55
50
45
40
35
30
25
20
15
10
5
Weight (lb)
Weight (lb)
19. Both bar graphs show the weights of four bags of rice. Which graph could be misleading? Why?
Graph A
Graph B
Bag 1
Bag 2
Bag 3
Bag 4
75
70
65
60
55
50
45
40
35
30
25
20
15
10
5
Bag 1
Bag 2
Bag 3
Bag 4
20. Solve g + 6 = –18.
21. Ralph is an electrician. He charges an initial fee of $22, plus $31 per hour. If Ralph earned $177 on a job, how long
did the job take?
22. Give the domain and range of the relation. Determine whether the relation is a function.
x
y
0
–5
1
–1
1
3
1
6
23. The area of a triangle is given by
in2 and the height is 4 in.
. Solve for b. Then find the base length of the triangle if the area is 49
24. The circle graph compares the number of videos of each type. What percent of the movies rented were comedy
movies? Use the circle graph to answer the question.
Rentals at Vicki's Videos
Children's
50
Action
150
Drama
125
Comedy
175
25.
equals
26. Solve 5h + 9 = 32.
27. Solve
.
28. The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a
lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the
thunder divided by 5. Suppose you are 4 miles from a lightning strike. Write and solve an equation to find how
many seconds there would be between the flash and thunder.
29. Identify each graph as being a non-linear function, linear function, or not a function.
Graph A
Graph B
y
Graph C
y
y
3
5
3
2
4
2
1
3
1
2
–3
–2
–1
–1
1
2
3 x
–2
1
–2
–2
–1
–3
30. Solve y = wp for w.
31. Determine if the relation is a function.
x
y
0
–5
1
–1
2
3
3
6
32. Solve 3(a + 5) + 6 = 27.
33. Solve
–1
–1
.
–1
1
x
–3
1
2
3
4 x
34. Solve p + 12.517 = 1.57.
35. The circle graph shows how the average American family spends its money. Explain why the graph may be
misleading.
Clothing 6%
18%
Transportation
Food 15%
Housing 31%
36. Solve
. Tell how many solutions there are.
37. The perimeter of a rectangle is given by P = 2l + 2w. Solve for w. Then find the width of the rectangle if the
perimeter is 37 cm and the length is 10 cm.
38. Solve.
39. Solve 10y – 2y = 64.
40. Graph the equation
and tell whether it is linear