Use the scratch paper for any work you need to do. Drawings may not be to scale. There may be more than one answer for some problems.
1
1
a^2-6=43
Equation
Expression
2
1
12x^4-7x^2+3x^4-5x^3-4x
Equation
Expression
3
1
4x-2x+7=12
Equation
Expression
4
1
5n + 60
Equation
Expression
5
2
What is the value of x in the equation x-6=12?
-18
-6
16
18
6
2
What is the solution for this equation (2x-3) = 7? x =
5
4
10
13/2
7
2
Solve the equation 7x+5=54 for x. Show work!
-42
59/7
-7
7
8
2
Solve the equation 7(x-2)+5=54 for x. Show work!
-9
5
9
11
9
2
What is the value of x in the equation 5x + 2(4 - 2x) = 0
-8
-8/3
2
8
10
2
What value of y is the solution to the equation 6(y - 2) = 4 + 2(2y + 5) = ?
-7
13
11/2
-7/6
11
2
Which equation is equivalent to 1/2(4x + 6) - 5(x - 3) = 12
-3x=9
-3x=6
-3x=24
-3x=21
12
1
Given that the interest (i) earned on an amount of money (A) is calculated using the formula i=Art, where r is the interest rate and t is the time invested, which equation that solves for A is equivalent to the formula?
irt=A
it/r = A
i/rt = A
1/irt = A
13
1
Which statement below best describes the following. Is the equation 3(2x + 6) = -12 equivalent 6x + 18 = -12?
Yes, the equations are equivalent by the Associative Property of Multiplication
Yes, the equations are equivalent by the Commutative Property of Multiplication
Yes, the equations are equivalent by the Distributive Property of Multiplication
No, the equations are not equivalent
For 14-18, match the equation to its solution(s). There are more answers than equations. One solution per equation. 2 points each
14
2
4(x+6) = 2x+ 36
x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12
x = 12 and x = -4
x = - 2/3
x = 6
No Solution
x = -17
15
2
(2x+4)/(x+2)= 4
x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12
x = 12 and x = -4
x = - 2/3
x = 6
No Solution
x = -17
16
2
(x+2)/(x-3)= 3/4
x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12
x = 12 and x = -4
x = -2/3
x = 6
No Solution
x = -17
17
2
5 - (x+3) = -10
x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12
x = 12 and x = -4
x = 2/3
x = 6
No Solution
x = -17
18
2
Which of the equations below fits the restrictions x ≠ 5 and x ≠ 2
3/(x+5)=2/(x+2)
(x-5)/3=(x+2)/2
2/(x-2)=3/(x+5)
2/(x+2)=3/(x-5)
19
4
Which of the equations below has no real solutions? Choose all that apply.
0 = (x-1)/(x-1)
3 = (x-1)/(x-1)
2x + 2 = 2 + x
3x + 1 = 5
20
2
A student solved the equation 2x/5+x/2=9/5 in three steps, as shown
Step 1: 3x/7=9/5
Step 2: 3x=63/5
Step 3: x=21/5
Which statement is an accurate interpretation of the student’s work?
The correct solution is 21/5
The student made an error in Step 1. Only fractions with common denominators can be combined.
The student made an error in Step 3. To divide both sides by 3, the right side should now have a 3 in the denominator.
x ≠ 5 and x ≠ 2 because those values are in the denominator of the fractions.
21
1
Select the expresssion that is equivalent to x^2 + 10x + 25 - x^2 - 2x + 15. Show all your work on scratch paper!
2x + 10
-2(x – 20)
(x+5) – (x-3)
(x+5) [(x+5) – (x-3)]
22
2
Is 2d(d-1)=0 the same as (2d-1)(3d-3)=0.
True
False
23
2
Is (2d-2)(d - 1/2) =0. the same as (2d-1)(3d-3)=0.
True
False
24
2
Is 3x^4-8x^2+12x^4-5x^3+2x-7x^2+3-4x equivalent to10x^4-6x^2+5x^4-3x^3+3x-11x^2+3-5x .
True
False
25
2
Is 12x^4-7x^2+3x^4-5x^3-4x-8x^2+3+2x equivalent to10x^4-6x^2+5x^4-3x^3+3x-11x^2+3-5x .
True
False
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