Expressions
10 squared is represented by this expression.
A. 10 • 2
B. 10 • 4
C. 10²
D. 10³
C. 10²
Evan is collecting Pokemons. After getting 10 more pokemons, he has 50 pokemons in total. Select all the equations Evan can solve to find x, the number of Pokemons he started with.
A. x + 10 = 50
B. x - 10 = 50
C. x = 50 + 10
D. X = 50 - 10
E. 10x = 50
A. X + 10 = 50
D. X = 50 - 10
This phrase matches the inequality x ≥ 8.
A. X is less than 8.
B. X is greater than 8.
C. X is less than or equal to 8.
D. X is greater than or equal to 8.
D. X is greater than or equal to 8.
The shoe store has a sale of 40% off all tennis shoes. This is the final price on a pair of shoes that normally sells for $52.00.
$31.20
Rationale:
52.00 • .60 = 31.20
The chemist decreases the temperature of a chemical from 2:00 pm until 8:00 pm.
This is the rate of decrease per hour rounded to the tenths place.
A. 6.7°C per hour
B. 6.8°C per hour
C. 7.1°C per hour
D. 7.2°C per hour
B. 6.8°C per hour
This expression is equivalent:
3a + 2b + 3b + 4a + 15?
7a + 5b + 15
The solution for this equation:
20 = 2.5t
t = 8
This inequality means “at least 20”.
A. X ≤ 20
B. X ≥ 20
C. X = 20
B. X ≥ 20
A trip to the candy store cost 11.34 before tax. Tax is 8% in this parish. This is the final cost of the candy rounded to the nearest hundredths place.
$12.25
Rationale:
11.34 • 1.08 = 12.2472
$12.2472 rounded to the nearest hundredths place is $12.25.
Christian is visiting the Dinosaur Museum. The entry fee is $7. It costs $1.50 each time he pushes a button for information about the dinosaurs. Christian spent a total of $25.00.
If X represents the times Christian pushed the button for information, this would be the equation and the solution for this scenario.
25.00 = 7 + 1.50X
X = 12
This expression is equivalent to 5p-30?
A. 5(p - 6)
B. 10(p - 30)
C. 5p(5 - 20)
D. p(1 - 6)
A. 5(p - 6)
The answer to this equation is r = 7.
What is the equation?
7r = 20 - 13
20 - 7 = r
7r = 7
r + 13 = 20
r + 13 = 20
This value for x makes x ≤−19 true.
A. x = 17
B. x = -18
C. x = 19
D. x = -20
D. x = -20
The UVA shop had a sale on sweatshirts. They were marked 25% off. Students who completed all LEAP testing received an additional 10% off of the discounted price. The sweatshirts were originally $42.00. This was the cost of the sweatshirt before taxes once the discount and coupon were applied.
$28.35
Rationale:
42.00 • .75 = 31.50
31.50 • .90 = 28.25
Natalie, Evan, and Charlie each have a number of cards to trade.
Natalie has 30 cards.
Charlie has a number of cards that is 20% fewer than the cards that Natalie has.
Evan had 1/2 the number of cards that Charlie has.
Evan has this many cards.
Evan has 12 cards.
Rationale:
80% of 30 = 24 (the number of cards Charlie has). Then half of 24 is 12.
This expression is equivalent to 4(x - 5) -2 (4 - 3x).
A. 2(5x + 6)
B. 2(5x - 14)
C. 2(x - 6)
D. 2(5x + 14)
B. 2(5x - 14)
1/4p + 6 = 25
This is the solution for p.
p = 76
Rationale:
25 - 6 = 19
19 ÷ 1/4 is 19 •4 when you use the KCF rule.
19 • 4 = 76
This is the solution for the following inequality:
-5p < 25
p > -5
Rationale:
When you divide by a negative number in an inequality, you must flip the inequality symbol.
It's Taco Tuesday, and the Mexican restaurant has $3.00 tacos! I ordered 3 tacos, paid 10% sales tax and then tipped the waitress 15%. This is the amount of my total bill rounded to the nearest hundredths place.
$11.39
Rationale:
3 • 3 = 9
9 • 1.10 = 9.90
9.90 • 1.15 = 11.39
A carpenter replaces 120 boards in a floor. Each board takes approximately 15 minutes to replace. The carpenter charges $29.50 for each hour spent replacing the boards. This is approximately how much the carpenter charges to replace 120 boards.
A. $785
B. $875
C. $885
D. $905
C. $885
Rationale:
120 • 15 = 1,800 minutes
1,800 ÷ 60 = 30 hours
30 • 29.50 = $885
24x - 8y + 16 will factor into these two expressions.
A. 2(22x - 4y + 8)
B. 4(6x - 2y +4)
C. 2(12x + 4y -8)
D. 8(3x - y +2)
A. 2(22x - 4y + 8)
D. 8(3x - y + 2)
This is the simplified solution for p when solving the equation
2/5p + 1/3 = 4/3
p = 2 1/2
Rationale:
4/3 - 1/3 = 3/3 or 1
1 • 5/2 = 5/2 or 2 1/2
This is the solution for the following inequality:
w/4 <-6
w < -24
Rationale:
To isolate w, you must multiply both sides by 4.
-6 • 4 = -24; so w < -24
Going on a date to the movies is so expensive! The movie tickets cost $15 each. Sodas are 7.50 each, candy is $5 each, and popcorn is $15. The sales tax is 9.5%. This is the cost of two tickets, two drinks, two boxes of candy, and one shared popcorn, including tax.
$76.65
Rationale:
30 + 15 + 10 + 15 = 70
70 • 1.095 = 76.65
Jolie and her friends are painting a mural on a rectangular wall. The wall is 16.5 feet long and 12 feet wide. So far, their mural covers 40% of the wall. They will paint the remaining part of the wall over the next two days, painting the same amount each day. This is how much they will paint each day.
59.4 square feet each day.
Rationale:
16.5 • 12 = 198
198 • 40% = 79.2
198 - 79.2 = 118.8
118.8 ÷ 2 = 59.4 square feet each day.