Equations and Inequalities
Simplifying Expressions
Exponents
Ratios and Percents
Circles and Probability
100
Solve: 2x + 5 = 17
x = 6
100
5(2 + 3) - 3 + 2 * 5
32
100
(3 x^3 y^4)^2
9 x^6 y^8
100
What is 8% of 60?
4.8
100
The diameter of a circle is 60 inches. What is its area?
900 pi in^2
200
Solve: -2x - 5 = 7 + 4x
x = -2
200
-3x + 5y - 10x - 3y
-13x + 2y
200
3x^2 (5x + 2) + 8x(x^2 - x)
23x^3 - 2x^2
200
18 is what percent of 60?
30%
200
Two spinners are spun. The chance of landing on each sector is equal. Spinner #1: 1,3,5 Spinner #2: 2,4,6,8 What is the probability that the product of the two numbers will be a two digit number?
7/12
300
Solve: -3 - x = x + 5
x = -4
300
Evaluate 2k(2k+1)(2k+2) when k = -2.
-24
300
5^0 + 4^1 + 3^2 + 2^3 + 1^4 + 0^5 + (-1)^6
24
300
Suppose that a 15% tip is added to the price of a $24 meal. What is the final price of the meal?
$27.60
300
A coin has a 2/3 chance of flipping heads and 1/3 chance of flipping tails. If the coin is flipped three times in a row, what is the probability of flipping all heads or all tails?
1/3
400
Solve: -2(y+5) < 8
y > -9
400
-4(-4a - b) - 8(a - 3b)
8a + 28b
400
(5 a^8 b^6 c^4) / (30 a^2 b^4 c^6)
a^6 b^2 / 6 c^2
400
Suppose the ratio of boys to girls at a birthday party is 5:2. If 18 more girls had come to the party, there would be an equal number of boys and girls. In total, how many kids are at the birthday party?
42 kids (30 boys and 12 girls)
400
Sixteen gold snakes and ten silver snakes are placed into a bag. You reach into the bag twice in a row and take two snakes without replacement. What is the probability that the two snakes are the same color?
33/65
500
Solve: 5/6 + n/2 = 5n/3
n = 5/7
500
1/2 * (-7n + 3) + 5/2 * (3n + 1)
4n + 4
500
If 3^4 - 7^2 = 2^n, what is n?
n = 5
500
If 5 cups of flour are needed to produce 4 pans of brownies, how many cups of flour will be needed to produce 62 pans of brownies? Solve by using a proportion. Write your answer as a decimal or mixed number.
77.5 or 77 1/2 cups of flour.
500
The area of a semicircle is 32 pi. A 40 degree sector is cut out of the semicircle. What is the arc length of the sector, in terms of pi?
16pi/9