Chapter 2 Additional Study Guide
Write an equation for each problem. Then solve the equation.
1. Fifty-three plus four times b is as much as 21.
2. A number is divided by 4, and the quotient is added to 3. The result is 24. What is the number?
3. One fourth the sum of r and ten is identical to r minus 4.
Solve each equation below. Show any work.
3
4. ! t + 2 = t
5
10. 3(d – 8) – 5 = 9(d + 2) + 1
r + 13
=1
12
11. |3t + 6| = 9
6. 15t + 4 = 49
12. |3 – 2r| = 7
7. 5x – 3 = 13 – 3x
y 48
13. ! = !
9
3
5. !
8. 14 + 5n = –4n + 17
9. 6 + 2(3j – 2) = 4(1 + j)
14. !
m − 1 2
= !
8
4
15. !
x + 1
5
= !
12
4
Evaluate each expression if x = –1, y = 3, and z = –4.
16. 16 – |2z + 1|
17. 3 | z – x| + |2 – y|
18. |–3y + z| – x
Solve each equation for the indicated variable.
2
19. ! m + a = a + r, for m
3
20. 2w – y = 7w – 2, for w
21. !
3b − 4
= c, for b
2
Answer the following questions. Show any work.
1
22. Michelle paints a room that has 400 square feet of wall space in 2! hours. At this rate, how long will
2
it take her to paint a room that has 720 square feet of wall space?
23. Walker is planning a summer vacation. He wants to visit Petrified National Forest and
Meteor Crater, Arizona, the 50,000-year-old impact site of a large meteor. On a map with a scale
1
where 2 inches equals 75 miles, the two areas are about 1! inches apart. What is the distance
2
between Petrified National Forest and Meteor Crater?
24. Determine the percent of change given that
• Original: 200
• New: 320
25. Determine the percent of change given that
• Original: 98.6
• New: 64
26. Find the total price of the item
• TV: $375.00
• Discount: 25%
• Sales Tax: 6%
27. A health food store sells seasoning blends in bulk. One blend contains 20% basil. Sheila wants to add
pure basil to some 20% blend to make 16 ounces of her own 30% blend. Let b represent the
amount of basil Sheila should add to the 20% blend. How many ounces of basil should Sheila use
to make the 30% blend?
28. Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the
mixture, he uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts that cost $3.00 per
pound. He mixes 10 pounds at a time. How many pounds of each kind of peanut does Sergio use?
29. A pineapple drink contains 15% pineapple juice. How much pure pineapple juice should be added to
8 quarts of the pineapple drink to obtain a mixture containing 50% pineapple juice?
30. A nursery sells Kentucky Blue Grass seed for $5.75 per pound and Tall Fescue seed for $4.50 per
pound. The nursery sells a mixture of the two kinds of seed for $5.25 per pound. Let k represent the
amount of Kentucky Blue Grass seed the nursery uses in 5 pounds of the mixture. How much Tall
Fescue does the nursery use in 5 pounds of the mixture?