Vocab
Identify the variables in the following algebraic expression: 7x + 2y - 2.3 + 9a
x, y, and a
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
Evaluate the following expression if x=2:
3x - 16
3(2)-16
6-16
-10
Write the expressions in standard form.
Are the following expressions equivalent?
2 + 7n and 3n + 2 - 4n
7n + 2 and -n + 2
No
(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 (the invisible 1 on the q)
Jaylen is j years old. Axel is 4 years younger than Jaylen. Write an expression to indicate how old is Axel 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
Evaluate the following expression if z=5:
4 - 6z
4 - (6 x 5)
4 - 30
-26
Write the expressions in standard form.
Are the following expressions equivalent?
2x + 5 and x - 8 + x - 3
2x + 5 and 2x - 11
No
(16x - 3) + (-10x - 8)
6x - 11
Add the linear expressions:
(c - 2)+(3c+2)
4c
Identify the constant term in the following algebraic expression: 2d + 9.2 + 12t
9.2
Write an algebraic expression to model the following situation: Jaden 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
Distribute the follwing
6(-7h + 20)
-42h + 120
Simplify the following expression: 4(d-3f)+14f
4d+2f
Evaluate the following expression if r=18:
16 - (2/3)r - 4
16-(2/3)(18)-4
16-12-4
4-4
0
Write the expressions in standard form.
Are the following expressions equivalent?
-(-2w - 5) and 2+4w+3-2w
2w + 5 and 2w + 5
Yes
(9y + 14) - (4y - 8)
5y + 22
Subtract the linear expressions.
(6w+6)−(−w−3)
7w+9
How many terms are in this expression?
9j + 4k - 7 + 2p - 7x
5
Write an algebraic expression in simplest form to model the following situation: Cydnee and Keen were putting their saved money together to buy a bike. Keen had -12m + 6 dollars and Cydnee 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.
6a(4b+3)
24ab + 18a
Simplify the following expression: 3 + 8p + 3r - 4p + 6p + 1 - r
10p+2r+4
Evaluate the following expression if x=3:
(15+x)/(3x-3)
(15 + 3) / (3 x 3 - 3)
18 / 6
3
Write the expressions in standard form.
Are the following expressions equivalent?
8(y + 2) - 4y and 4(y + 4)
4y + 16 and 4y + 16
Yes
(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 - 2b - d + 4c - 12 + c
4 terms
Write an algebraic expression in simplest form to model the following situation: The distance between Dakari and Piper, if in an hour Piper ran a distance of 14m + 16 miles and Dakari 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
Evaluate the following expression if y=7:
The sum of (21/y) and (4y/2)
(21/7)+(4 x 7 / 2)
3+(28/2)
3+14
17
Write the expressions in standard form.
Are the following expressions equivalent?
(60s/5) and s+14s-3s
12s and 12s
Yes
(15 + 7x - 10y) - (y + 4x - 5)
-11y + 3x + 20
Subtract the linear expressions:
(4r−7)−3(3−r)
7r-16