Expressions
For the expression: 4y+9
a.) How many terms are there?
b.) Which part is the variable?
c.) Which part is the coefficient?
d.) Which part is the constant?
a.) 2 b.) y c.) 4 d.) 9
Evaluate the expression using a=6 and b=-4
3a²+b³
44
Arturo & Steven are running for class president. For every three votes Arturo receives, Steven received five. Which ratio shows the number of votes Arturo receives to that of Steven?
(a) 3:8 (b) 8:3 (c) 3:5 (d) 5:3
(c) 3:5
Solve the equation shown:
p - 5/8 = 9/8
p = 14/8 or 1 3/4 or 1.75
Elena is allowed to play video games for no more than 2 hours on Saturday. Write an inequality to represent how long, v, Elena is allowed to play video games on Saturday.
v ≤ 2
Evaluate the expression using x=3 and y=-7
2x²+3y-7
-10
Evaluate the expression using x=-3, y=2, and z=-1
(2y² - z⁵) ÷ x²
1
Use equivalent ratios: 15 is 48% of what number?
%/100 = is/of
48/100 = 15/x
x = 31.25
Write an inequality that is represented by the graph shown on the bulletin board.
x ≥ 1,500
Solve the (2) equations shown:
a.) 8 = a - 19
b.) b/7 = 42
a.) a = 27 b.) b = 294
Write an expression to represent the phrase "9 fewer than the product of 14 and y"
14y-9
Write an expression to represent the phrase "the quotient of 3 times a number p and 5"
(3p)÷5 or (3p)/5
Use equivalent ratios: For every 3 boys going on a field trip, there are 4 girls going on the field trip. If there are 18 boys going, how many girls are going?
boys/girls -> 3/4 = 18/x -> x=24 girls
girls/boys -> 4/3 = x/18 -> x=24 girls
Select all values that make the following inequality TRUE.
6x - 4 > 20
Answer Bank: {0, -4, 5, 4, 9}
5 & 9
Solve each one-step equation.
a.) 4x = 32
b.) 23 - y = 14
c.) 42 ÷ z = 7
a.) x = 8
b.) y = 9
c.) z = 6
Write an expression based on the words below.
"8 plus the quotient of m and 6"
8+(m/6) or 8+(m÷6)
Write an expression based on the words below.
"a fourth of a number n"
(1/4)n or n/4
Brittany made 9 out of 24 free throws. Bob made 7 out of 18 free throws. Who has the higher (or better) free throw ratio?
Brittany = 9/24 = 37.5%
Bob = 7/18 = 38.9%
Bob's free throw ratio is higher (better)!
A mall has 6 identical lots that can hold a total of 2,334 cars.
a.) Write an equation that represents the situation, where c represents the number of cars in each lot.
b.) Solve the equation... how many cars are in each lot?
a.) 6c = 2334
b.) 389 cars
Farmer Brown needs to plant at least 35 acres to make a profit from his farm. If a is the number of acres he needs to plant, write an inequality the represents the scenario.
a ≥ 35
UPS Delivery makes a $4.25 profit with every item delivered. Their daily expense is $40.
a.) Write an expression they could use to calculate their profits based on d deliveries.
b.) What would be their profit if they delivered 150 items in a day?
a.) 4.25d-40
b.) $597.50
Thomas wanted to start up a side hustle to make money. He decided to spend $8 on ingredients to make lemonade for neighbors, where he was able to make $3 per glass.
a.) Write an expression to represent this situation, where x represents the number of glasses he sells.
b.) How much money does he have if he sells 13 glasses of lemonade?
a.) -8+3x or 3x-8
b.) x = $31
Use equivalent ratios: What percent of 136 is 60? (Round to the nearest hundredth of a percent)
%/100 = is/of
x/100 = 60/136
x = 44.12%
Ned has money in his wallet. His grandparents give him $15 for a birthday gift. He now has $52 in his wallet.
a.) Write an equation to represent the situation, where m represents the money he originally had in his wallet.
b.) Solve the equation... How much money did he have before the gift?
a.) m+15=52
b.) m = $37
A solar panel can generate 1/3 of a kilowatt of power each hour. The average store needs to generate a total of about 40 kilowatts of power each hour.
a.) Write an equation to determine how many solar panels, s, are needed on an average stores roof.
b.) Solve the equation.
a.) (1/3)s = 40 or s/3 = 40
b.) s = 120 solar panels