Vocab
Write an algebraic expression to model the following situation: Total cost for m muffins and d donuts, if muffins cost $3.20 each and donuts cost $2.95 each.
3.2m + 2.95d (or 2.95d + 3.2m)
Write an algebraic expression to model the following situation: 7 more than one-half of p
0.5p+7 OR
p/2+7 OR
1/2P+7
Simplify the following expression:
5(x−4)
5x - 20
Simplify the following expression: v + v + 5 - 2 + 3v
5v + 3
(2v + 7) + (13v - 5)
15v + 2
Add the linear expressions:
(2x−7)+(3x+9)
5x+2
Identify the coefficients in the following algebraic expression: 9p + 2 + q - 1
9 and 1
Jim is j years old. Alex is 4 years younger than Jim. Write an expression to indicate how old is Alex in terms of j?
j - 4
Jim is j years old. Alex is 4 years younger than Jim. How old is Alex in terms of j?
j-4
Simplify the following expression:
−3(2w−7)
-6w+21
Simplify the following expression: 4k + 3j + 6 + k + 8j
5k+11j+6
(16x - 3) + (-10x - 8)
6x - 11
Add the linear expressions:
(c−2)+(3c+2)
2c
Identify the constant term in the following algebraic expression: 2d + 9.2 + 12t
9.2
Write an algebraic expression to model the following situation: Josh has $45 in his bank account, and he buys x candy bars for $1.50 each.
45 - 1.5x
Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4
k/4 - 17
Factor completely.
6h - 20
2(3h-10)
Simplify the following expression: 4(d-3f)+14f
4d+2f
(9y + 14) - (4y - 8)
5y + 22
Simplify:
(6w+6) − 3(−w−3)
9w+15
How do you factor?
Find the GCF of the terms and divide every term by the GCF.
Write an algebraic expression in simplest form to model the following situation: Everett and Melinda were putting their saved money together to buy a bike. Everett had -12m + 6 dollars and Melinda had 9(2 + 5m) dollars. How much do they have total?
(-12m + 6) + 9(2 + 5m)
(-12m + 6) + 18 + 45m
33m + 24
Write an algebraic expression to model the following situation: 6 less than the product of 8 and k
8k - 6
Factor completely.
-24ab - 18a
-6a(4b+3)
Simplify the following expression: 3 + 8p + 3r - 4p + 6p + 1 - r
10p+2r+4
(6 - 3b) - (b + 16)
-4b - 10
Subtract the linear expressions:
3(5k−1)−(−6k+2)
21k-5
After the following algebraic expression is simplified, how many terms will it have:
9b + 7b + 4 - 16b - d + 4c - 12 + c
3 terms
Write an algebraic expression in simplest form to model the following situation: The distance between Lily and Paul, if in an hour Lily ran a distance of 14m + 16 miles and Paul ran a distance of 5m + 30 miles
(14m + 16) - (5m + 30)
(14m + 16) + (-5m - 30)
9m - 14
Write an algebraic expression to model the following situation: The product of k minus 2 and 3
3(k-2)
Simplify the following expression:
−5(−3x−7y+4)
15x+35y−20
Simplify the following expression:
17 + 15x - 10 - 12x - 6(z + x)
-3x + 7 - 6z
(15 + 7x - 10y) - (y + 4x - 5)
-11y + 3x + 20
Subtract the linear expressions:
(4r−7)−3(3−r)
7r-16