Vocabulary
State the difference between a constant and a coefficient
Constant: a number without a variable
Coefficient: a number multiplied to/next to a variable
Simplify 3(x + 2)
3x + 6
Evaluate 3q - 20 when q = 5
-5
Lydia wants to take art classes. Center A charges $15 per hour and a registration fee of $75. If A represents the total charges and h represents the number of hours, write an equation Lydia could use to calculate how much she will spend on art classes.
A = 15h + 75
Create an expression that shows the sum of (x + 1)2 and (-x2 + 3x - 12)
(x + 1)2 + (-x2 + 3x - 12)
Simplify -4(m + 9)
-4m - 36
Evaluate 25 - (2/3)y when y = 18
13
Anna is planning a party for her daughter's birthday. The number of party hats Anna needs is twice as many as the number of balloons. x represents the number of balloons and y represents the number of party hats. Write an equation that represents this situation.
y = 2x
Create an expression for the product of (2x - 4) and (3 + 5x)
(2x - 4)(3 + 5x)
Simplify 9x - 3x2 + 2x
11x - 3x2
Evaluate d2 + 6d when d = -4
-8
Julia is 4 years older than twice Kelly’s age, x. The product of their ages is 96. Write an equation that could be used to find their ages.
x(2x + 4) = 96
or
2x2 + 4x = 96
What are the coefficients in the following expression:
7 + 4p - 5 + p - 2q
4, 1, -2
3y + 2(y - 5) + 1
5y - 9
Evaluate a3 + ab when a = -5 and b = 3
-140
Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Write an equation that could be used to find the number of dimes he has?
0.05(2d + 5) + 0.10d = 1.45
Given: 7b3 - 5
7 is a ____ b is a ____
3 is a ____ -5 is a ___
7 is a coefficient
b is a variable and a base
3 is an exponent
-5 is a constant
7 - (4x - 6) + 12x
8x + 13
Evaluate 2x2 - 4x - x + 3 when x = -5
78
Hannah went to the school store to buy supplies and spent $16. She bought four more pencils than pens and two fewer erasers than pens. Pens cost $1.25 each, pencils cost $0.55 each, and erasers cost $0.75 each. If x represents the number of pens Hannah bought, write an equation in terms of x that can be used to find how many of each item she bought.
1.25x + 0.55(x + 4) + 0.75(x - 2) = 16