Math 1
Ch. 5 Pre-Test
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1) Suppose that David deposits $500 into an account that earns 5% simple interest. The general formula for
simple interest is 𝑃(𝑡) = 𝑃0 + (𝑃0 ∙ 𝑟)𝑡
a) Write the formula that calculates David’s account balance after t years.
b) Use the formula to calculate his account balance after 7 years.
2) Suppose that Goliath deposits $15,000 into an account that earns 6.25% simple interest. The general
formula for simple interest is 𝑃(𝑡) = 𝑃0 + (𝑃0 ∙ 𝑟)𝑡
a) Write the formula that calculates Goliath’s account balance after t years.
b) Use the formula to calculate his account balance after 15 years.
3) Suppose that Thelma deposits $700 into an account that earns 6% compound interest. The general formula
for compound interest is 𝑃(𝑡) = 𝑃0 (1 + 𝑟)𝑡
a) Write the formula that calculates Thelma’s account balance after t years.
b) Use the formula to calculate her account balance after 8 years.
4) Suppose that Louise deposits $32,000 into an account that earns 8.4% compound interest. The general
formula for compound interest is 𝑃(𝑡) = 𝑃0 (1 + 𝑟)𝑡
a) Write the formula that calculates Louise’s account balance after t years.
b) Use the formula to calculate her account balance after 12 years.
*5) Suppose that Rusty buys a $30,000 car that depreciates at an annual rate of 20%. The general formula for
depreciation is 𝑃(𝑡) = 𝑃0 (1 − 𝑟)𝑡
a) Write the formula that calculates the value of Rusty’s car after t years.
b) Use the formula to calculate the value of the car after 10 years.
Create a table for each function with x values of -2, -1, 0, 1, 2, 3.
Then graph each function using the table of values.
1 𝑥
6) 𝑓(𝑥) = 2𝑥
7) 𝑓(𝑥) = (3)
8) 𝑓(𝑥) = 3 ∙ 2𝑥
9) 𝑓(𝑥) = −(2𝑥 )
10) 𝑓(𝑥) = −3 ∙ (2 )
1𝑥
11) 𝑓(𝑥) = −2 ∙ (3𝑥 )
Given the parent function (𝒙) = 𝟓𝒙 , (a) describe each transformation, (b) name new critical point, and
(c) make a sketch of the graph.
12) 𝑓(𝑥) = 5𝑥 + 4
13) 𝑓(𝑥) = 5𝑥−2
14) 𝑓(𝑥) = −5𝑥
15) 𝑓(𝑥) = 5𝑥+6
16) 𝑓(𝑥) = 5𝑥 − 3
17) 𝑓(𝑥) = 5𝑥−3 + 2
18) 𝑓(𝑥) = 5−𝑥
19) 𝑓(𝑥) = −5𝑥+4
20) 𝑓(𝑥) = 5𝑥+4 − 7
Simplify. (No Calculator)
1 4
21) 53
22) (3)
26) (−5)4
27) (4)
1 −3
4
+5
3
3
4 −1
5
35)
37) 2𝑥 + 5 − 3𝑥 = 7 + 4𝑥 − 1
38)
34)
1 −4
28) (3)
−6
4
33)
1 6
24) (10)
29) (2)
25) 4−3
243 0
30) (6117)
32) 4 − |4 − 42 | + 44
31) 2(3𝑥 − 1) − 4(5𝑥 + 2)
2
1 −1
23) (7)
1
1
+3
7
36)
84
48
Solve for x
1
2
1
𝑥+3= 𝑥−1
3
Write in Slope Intercept Form & Graph:
Write in Standard Form & Graph:
39) 2𝑥 − 3𝑦 = 15
40) 𝑦 = 5 𝑥 + 1
Solve for h:
Solve for w:
4
41) 𝑉 = 3 𝜋𝑟 2 ℎ
2
42) 𝑃 = 2𝑙 + 2𝑤
Find the Slope
43)
(17, 5) & (22 , 11)
44)
(11, -5) & (6 , 2)
Decide if Arithmetic or Geometric, Find Common Ratio/Difference and then find the 20th term.
45)
17, 11, 5, -1, … , a20, …
46)
3, 6, 12, 24, … , g20 , …
Anything From a previous test can also appear on the test.