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```Algebra 2 Homework: ACT Prep
Assigned: 4-2-14 Due: 4-7-14
When you see “then x=?” complete the algebra or just
1. If 6x + 6 = 36 + 3x, then x = ?
a. 3
b. 9
c. 10
d. 33
e. 9/5
2. If 2x + 3 = 8x – 5, then x = ?
a. 4/3
b. ¾
c. ¼
d. -1/4
e. -2
3. If 3(x+4) + 2x = 2(x – 2) – 4, then x = ?
a. -20/5
b. -20/3
c. -10/3
d. 2
e. 11/5
4. In a certain situation, the maximum height H, in meters that a ball bounces is given by the
3
5
equation H = F – 0.02, where F is the force, in newtons, with which the ball is bounced. What
force, in newtons, must be applied for the height to be 0.16 meters?
a. 0.1
b. 0.2
c. 0.3
d. 0.4
e. 0.5
5. Which of the following is the set of all real numbers x such that x – 2 < x – 4 ?
a. The set containing only zero
b. The set containing all positive real numbers
c. The set containing all negative real numbers
d. The set containing all real numbers
e. The empty set
“What is y in terms of x and z” is just a fancy way of
saying “solve for y” or “use algebra to get y alone”
6. If I=PRT then which of the following is an expression for R in terms of I, P, and T?
a. IPT
b. I – PT
c.
d.
e.
𝐼
𝑃𝑇
𝑃𝑇
𝐼
2
𝐼𝑃𝑇
7. For all pairs of real numbers N and P where N = 5P + 4, P = ?
a.
b.
𝑁
5
𝑁
5
−4
+4
c. 5𝑁 − 4
d.
e.
𝑁−4
5
𝑁+4
5
8. If x = 3m – 4 and y = 6 – m, which of the following expresses y in terms of x?
a. y = 2x – 4
b. 𝑦 =
c. 𝑦 =
d. 𝑦 =
e. 𝑦 =
𝑥+10
3
2+𝑥
3
4
𝑥−3
14−𝑥
3
9. If 3x + 4y = 12, what is y in terms of x?
a. 3 – 3/4x
b. 3 + 3/4x
c. 4 – 3x
d. 12 – 3x
e. x – 12
10. If 8q + 3 < 19, which of the following CANNOT be q?
a. -2
b. -1
c. 0
d. 1
e. 2
```