SOLVE EQUATIONS
SIMPLIFY EXPRESSIONS
EVALUATE FUNCTIONS
ALGEBRA 1
MIXED
100

Solve for x:

-13 = -5x - 3

x = 1

100

If x^-2 = 64, what is the value of x^(1/3) + x^0?

3/2

100
Evaluate f(2) for f(x) = -7x + 4
-10
100
If (2^3)^2 = 4^p, then 3^p =
27
100

In how many different ways can five students be seated in three chairs?

60

200

Solve for m:

m/5 = m-3 / 2



m = 2

200
Let the function f be defined by f(x) = 3x-1 and let the function g be defined by g(x) = x^2. If m is a positive number such that f(7) = g(m) + g(2), what is the value of m?
4
200

Evaluate h(-2) for h(x) = 2x2 - 1

7

200
When the number of people who contribute equally to a gift decreases from four to three, each person must pay an additional $10. What is the cost of the gift?
$120.
200

The cost of admission to an event is $5.00 plus one half of its price. How much does the event cost?

$10.00 Because $5 + 0.5($10) = $10.

300

Solve for a:

4a + 1 = 6a - 15

a = 3

300
A culture of 5000 bacteria triples every 15 minutes. What is the size of the bacteria population after 2 hours have elapsed? (Calculator needed.)
32,805,000
300

Evaluate g(-1) for g(x) = x2 - 5x + 2

8

300
Simplify (x + 2)^2 - x^2
4(x+1) Note: x^2 + 4x + 4 - x^2
300

Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?

1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.

400

Solve for p:

3(8p - 6) + 8p = 14

p = 4

400
What is the equation of the graph obtained by shifting the graph of y=x^2 horizontally to the left 4 units and vertically down 3 units?
y = (x+4)^2 - 3
400

Evaluate f(-4) for f(x) = l  x - 7 l + 2

13

400
For the system of three equations: x-z=7, x+y=3, z-y=6, what is x?
8
400
Five students, all of different heights, are randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?
1/20. 1x3x2x1x1=6, 6 ways in which students can be arranged under given conditions. Under no conditions, the ways are 5x4x3x2x1=120. 6/120=1/20.
500

Solve for x:

3(x - 2) + 4x = 8x - 9

x = 5

500
Working alone, Bill takes three times the amount of time to paint a fence that Mike takes. If Bill and Mike work together, they can paint the fence in 2 hours. If Mike works at the same rate as when he worked with Bill, how long would it take Mike working alone to paint the same fence?
2 hours and 40 minutes. If x represents the number of hours it takes Mike working alone to paint the fence, then 3x is the number of hours it takes Bill working alone to paint the fence. So 2(1/x) + 2(1/3x) = 1 gives x=8/3 hours.
500

Evaluate p(x - 4) for p(a) = a2 - 5

x2 - 8x + 11

500
For how many integer values of b is b+3>0 and 1>2b-9?
Seven. b>-3, and b<5. Since b is an integer, b may be equal to any of the following: -2, -1, 0, 1, 2, 3, or 4.
500
x, y, 22, 14, 10... In this sequence, each term after the first term x is obtained by halving the term that comes before it and then adding 3 to that number. What is the value of x-y?
32. x=70, y=38. 70-38=32.
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