Exponents
What is 23 evaluated?
Answer: 23 = 8
Convert 3/4 to a decimal.
Answer: 3/4 = 3 ÷ 4 = 0.75
Convert 0.6 to a percentage.
Answer: 0.6 • 100 = 60%
What is the absolute value of -7?
Answer: |-7| = 7
If you have $50 and spend 40% of your money, how much do you have left?
Answer: $50 - (0.4 • $50) = $50 - $20 = $30
Simplify x2 • x3.
Answer: x2 • x3 = x2+3 = x5
What is 2 1/2 as an improper fraction?
Answer: 2 1/2 = 2/2 + 2/2 + 1/2 = 5/2
What is 25% of 80?
Answer: 25% of 80 = 0.25 • 80 = 20
Evaluate |-12 + 4|.
Answer: |-12 + 4| = |-8| = 8
A recipe calls for 2 1/2 cups of flour. If you use 3/4 cup, how much is left?
Answer: 2 1/2 - 3/4 = 5/2 - 3/4 = 10/4 - 3/4 = 7/4 cup or 1 3/4 cup of flour left.
What is 5-2 in fractional form?
Hint: a-n = 1/an
Answer: 5-2 = 1/52 = 1/25
Simplify 8/12.
Answer: 8/12 = (8 ÷ 4)/(12 ÷ 4) = 2/3
How do you find 15% of 200?
Answer: Convert 15% to a decimal by dividing 15 ÷ 100 = 0.15. Then, multiply 0.15 • 200 = 30
What is |6-10|?
Answer: |6-10| = |-4| = 4
If a car travels 60 miles in 1 hour, how far will it travel in 2.5 hours?
Answer: 60 • 2.5 = 150 miles
If a = 4, what is a0?
Answer: 40 = 1
How do you convert 0.75 to a fraction?
Answer: 0.75 = 75/100 = (75 ÷ 25)/(100 ÷25) = 3/4
If a shirt costs $40 and is on sale for 20% off, what is the sale price?
Answer: $40 - (0.2 • $40) = $40 - $8 = $32
If x = -5.72, what is |x| + 3.1?
Answer: |-5.72| + 3.1 = 5.72 + 3.1 = 8.82
You bought 3 items which cost altogether $45. If one item cost $10, and the other two items were the same price, how much did the other two items cost?
Answer: Set it up as an algebra problem, setting x as the unknown price:
$10 + 2x = $45
Solving for x, we find that the price of the two items was $17.50
Simplify the expression 34/32.
34/32 = 34-2 = 32 = 9
Add 3/5 + 1/10.
Answer: 3/5 + 1/10 = 6/10 + 1/10 = 7/10
What is the percentage increase if a price goes from $50 to $75?
Answer: Percentage increase = (Final price - Initial price)/(Initial price). So in this case, ($75 - $50)/$50 = $25/$50 = 0.5 or a 50% increase
Solve for x:
|x| + 1 = 8
Answer: x = -7 or 7
If a person earns $3,500 each month and they save 15% of their income every month, how much will they have saved at the end of one year?
Answer: ($3,500 • 12) • 15% = $42,000 • 0.15 = $6,300