Vocabulary
A quantity that changes or varies, often represented with a letter.
What is a variable?
What is the GCF of
15, 25
What is 5?
Water bottles are sold in cases of 24 and cost $1.25 per bottle. Each of 4 friends gets an equal share of water bottles from c cases of bottles. Write an expression to represent how much each friend must pay.
What is 7.5c?
(24c)*1.25) / 4
30c/4=7.5c
Evaluate 2/ + 2w for / = 10.8 and w = 8.3.
What is 38.2?
Write and Equivalent Expression for 15x + 3?
What is 3(5x + 1)
In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or - signs.
What is term?
What is the GCF of 42, 75?
What is 3?
The same digits are used for the expressions 5^2 and 2^5. Explain how to compare the value of each expression.
What is 5^2=5*5*=25; 2^5=2*2*2*2*2=32. So, 5^2<2^5?
Select all the expressions that have a value of 96 when S=4
A: s/6+95 3/9
B: 164/s + 54
C: (2s^2/24) + 94 2/3
What is A and C?
Use the Distributive Property to write an expression that is equivalent to 4(y - 3).
What is 4y - 12?
A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Ex. in "x + 5 = 9", 5 and 9 are
What is constant?
Three cyclists begin a race at the same time. Cyclist A completes a lap in 8 minutes, Cyclist B in 12 minutes, and Cyclist C in 18 minutes. How many minutes will it take for all three cyclists to be at the starting line at the same time?
A car rental company charges a one-time flat fee of $30 for insurance, plus $45 per day for the rental. Write an expression for the total cost of renting a car for a number of days.
What is 30 + 45d?
Evaluate the expression below. (5.2+6.8)x - (25 / 5)x
What is 7x?
Select each pair of expressions that are equivalent.
A: 3x + 1/4 - x + 1 1/2 and 4x + 1 3/4
B: 2 + 6x and 2(3x + 1)
What is B?
To find a value that an algebraic expression names by replacing a variable with a given value.
What is Evaluate? DAILY DOUBLE
Evaluate 10−2.5d when d=1.4
.
At her health club, Lauren uses a treadmill every 2 days and the weight machines every 8 days. She used a treadmill on March 2 and will use the weight machines on March 8. Lauren says that the first time she will use both a treadmill and the weight machines in March is March 16 because the LCM of 2 and 8 is 16.Does Lauren’s reasoning make sense? Use an example or a counterexample to explain your analysis.
What is No; Sample answer: Lauren’s reasoning does not make sense. The LCM is 8, not 16. So, March 8 will be the first time she uses both a treadmill and the weight machines ?
Lena uses 2 cups of flour for a batch of cookies, 2 1/2 cups for a loaf of bread, and 1/2 cup for dusting her workbench. Let c be the number of cookie batches and b be the number of bread loaves Lena makes. Which of the following expressions could represent how much flour she uses?
A:2c+ 1/2b + 1/2
B: 1/2 (2c+ 2 1/2b)
What is A?
1/8 [6^3+ (48/6)]-20
What is 8?
Select each pair of expressions that are equivalent.
A: 3(x + 1) - (1 + x) and 2x + 3
B:3x and 4(x + 1) - x - 4
C: 5.5 + 2.2x + 3.8x - 4.1 and 1.4 + 6x
What is B and C
A number used to multiply a variable.Ex. 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1. Ex. x is really 1x.
What is Coefficient?
A party planner is making identical balloon arrangements. She has 32 maroon, 24 white, and 16 orange balloons. What is the greatest number of arrangements she can make if every balloon is used?
What is 8?
Zoe earns $4.00 per garden watered and $4.00 per dog walked. If g is the number of gardens watered and d is the number of dogs walked, select all the equations that represent the total earned, E in dollars, by Zoe.
A: E=4g+d
B: E=4+gd
C: E=4g+4d
D: E=4d+g
E: E=4(g+d)
What is C and E?
Ms. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven.
Part A: Let m be the number of miles Ms. Perkins drives for the day. Write an expression that shows the amount she will pay for the car.
Part B: Evaluate the expression you wrote to find the amount Ms. Perkins will pay if she drives 300 miles.
Part A: What is 75 + 0.55m?
Part B: 75 + 0.55 * 300= 75 + 165=240; Ms. Perkins will pay $240.
Select all the expressions that are equivalent to 18m - 12
A: 6m - 4 + 6m -4 + 6m - 4
B: 12m + 6 - 6m - 6
C: 6(3m - 2)
D: 3(6m - 4)
E: 24n - 4^2 +8 -6m
What is A, C, D?