Write an algebraic expression to model the following situation: 7 more than one-half of p
0.5p+7
OR
(p/2)+7
OR
(1/2)p+7
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 7n+2
Yes
3x = 9
x=3
2x+3=5x−7
x=10/3
Identify the coefficients in the following algebraic expression: 9p + 2 + q - 1
9
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
Simplify the following expression: 4k + 3j + 6 + k + 8j
5k+11j+6
Evaluate the following expression if z=12:
4 + (5/6)z
4+(5/6)(12)
4+10
14
Write the expressions in standard form.
Are the following expressions equivalent?
2x+5 and x+8+x-3
2x+5 and 2x+5
Yes
4(x + 3) = 32
x=5
4x−6=2x+10
x=8
Identify the constant term in the following algebraic expression: 2d + 9.2 + 12t
9.2
Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4
(k/4) - 17
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?
3w-5 and 2+4w+3-2w
3w-5 and 2w+5
No
3/4x+5=17
16
3(4x+2)=2x+6(3x−1)
x=3/2
How many terms are in the following algebraic expression: 9j + 4k - 7 + 2p - 7x
There are 5 terms.
Write an algebraic expression to model the following situation: 6 less than the product of 8 and k
8k - 6
Simplify the following expression: 3 + 8p + 3r - 4p + 6p + 1 - r
10p+2r+4
Evaluate the following expression if x=3:
(11+x)/2-(9x-3)/4
(11+(3))/2-(9(3)-3)/4
(14/2)-(27-3)/4
7-(24/4)
7-6
1
Write the expressions in standard form.
Are the following expressions equivalent?
(12y/3) and 3y
4y and 3y
No
2/3 x-4=5
x=27/2
2(3x+4)=5x+3(2x+1)
x=1
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 to model the following situation: The product of 3 and the difference of k and 2.
3(k-2)
Simplify the following expression: 17 + 15x - 10 - 12x
3x+7
Evaluate the following expression if y=7:
The sum of (21/y) and (4y/2)
(21/(7))+(4(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
x/4+3=7
x=16
11(2x+3)=-3x+9(1+3x)
X=12