Vocabulary
In the expression 3x+4, what is the x called?
The variable
Use the distributive property to expand:
3(2x + 4)
6x + 12
5x - x = 64
What is x = 16
4x -2 = 10
x = 3
Eight more than the product of two and a number x.
What is 2x+8?
Juan is g years old and Eva is 2 years younger than Juan.
a. Find the sum of their ages in terms of g.
b. ***Find the sum of their ages in g years’ time, in terms of g.
a. 2g - 2 years
b. 4g - 2 years
In the expression 3x2-4, which is the exponent?
2
Use the distributive property to expand:
4(5x - 1)
20x - 4
-0.3m = -12
What is 40?
5x - 17 = 28
x = 9
The sum of seven and the quotient of a number x and 8.
(x/8) + 7
Andrea baked h muffins. Violet baked 8 fewer muffins than Andrea. Find the average number of muffins baked by both girls, in terms of h.
h - 4 muffins
In the expression 4x-3y+2, what are 4 and -3?
The coefficients
12p + 30
6(2p+5)
2.5x = 60
What is 24
17 - 3x = 3 x 5
Twenty-four minus the quotient of five and a number x.
24 - (5/x)
A glass jug can hold (6p + 8) quarts more water than a plastic container. 2 glass jugs and 2 plastic containers contain 56p quarts of water in all.
a. How much water can the plastic container hold? Give your answer in terms of p.
b. If p = 3, find how much water can 1 glass jug and 1 plastic container hold in all.
1 container holds
11p - 4 quarts
84 quarts
In the expression 5x-7y+1, which is the constant?
1
50 + 15x - 6 - 9x
2(3x +7)
x - (-3) = 5
What is 2
3(x + 6) = 20
x = 2/3
The difference between x and eight is equal to fifteen
x - 8= 15
Jose bought 4 comic books and 2 nonfiction books. The 4 comic books cost him 8y dollars. If the cost of one nonfiction book is (3 + 7y) dollars more expensive than the cost of one comic book, find
a. the cost of the 2 nonfiction books in terms of y.
b. the total amount that Jose spent on the books if y = 4
2(9y +3) dollars
$110
What do we call the following process?
2x+3x-3 = 5x-3
combining like terms
Use the distributive property to simplify the expression
7(3x + 3) + 5y
21x + 21 - 5y
20x = 140
70
12x +3 = 2x - 5
x = -0.8
x = - 4/5
x times eleven is equal to thirty-three
11x = 33
Wyatt has (2x -1) one dollar bills and (4x + 2) five dollar bills. Susan has 3x dollars more than Wyatt.
a. Find the total amount of money that Wyatt has in terms of x.
b. Find the number of pens that Wyatt can buy if each pen costs 50 cents.
c. If x = 21, find how much money Susan will have now if Wyatt gives her half the number of five dollar bills that he has.
a. 22x +9 dollars
b. 44x + 18 pens
c. $749