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Benchmark 1 Review #2

Total questions: 35

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

Given d=rt, solve for r. Given\ d=rt,\ solve\ for\ r.\  

a)

r=tdr=\frac{t}{d}  

b)

t = drt\ =\ \frac{d}{r}  

c)

d=rtd=\frac{r}{t}  

d)

r=dtr=\frac{d}{t}  

2.

A-B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

3.

Solve for x.

a)

-4

b)

0

c)

12\frac{1}{2}

d)

4

4.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
5.

-87 = -3 (3r + 8)

a)

8

b)

7

c)

20

d)

5

6.

(x+2)2=4\frac{\left(x+2\right)}{2}=4  Solve for x

a)

6

b)

0

c)

2

d)

4

7.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
8.
Solve for x
a)
11
b)
5
c)
8
d)
7
9.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
10.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

11.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

12.

Translate: twelve less than a number

a)

12−x12-x  

b)

x−12x-12  

c)

12x12x  

d)

x+12x+12  

13.

Translate: the square of the sum of a number and sixteen

a)

x2+16x^2+16  

b)

(x+16)2\left(x+16\right)^2  

c)

(x−16)2\left(x-16\right)^2  

d)

x2−16x^2-16  

14.

Match the following:

a)

x\sqrt[]{x}  

1.

the square root of a number

b)

x2x^2  

2.

a number squared

c)

x3\sqrt[3]{x}  

3.

the cube root of a number

d)

x3x^3  

4.

a number cubed

15.

Translate: seven less than a number squared

a)

7−x27-x^2  

b)

(x−7)2\left(x-7\right)^2  

c)

x2−7x^2-7  

d)

x2+7x^2+7  

16.

Translate: five times the sum of a number and four

a)

5x+45x+4  

b)

5(x+4)5\left(x+4\right)  

c)

5(4x)5\left(4x\right)  

d)

4(x+5)4\left(x+5\right)  

17.

Translate: thirteen less than the product of negative six and a number

a)

13−−6x13--6x  

b)

13−6x13-6x  

c)

6x−136x-13  

d)

−6x−13-6x-13  

18.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
19.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
20.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
21.
Solve
3.6 - 4.85a ≥ -6.1
a)
2 ≤ a
b)
a ≤ 2
c)
-2 ≥ a
d)
a ≥ -2
22.

Solve this

3x+4≤193x+4\le19  

a)

x = 5

b)

  x >5x\ >5  

c)

x≤5x\le5  

23.

Now solve 

16n−12≤−4416n-12\le-44  

a)

n≥−2n\ge-2  

b)

n≤−2n\le-2  

c)

n≥2n\ge2  

24.

33≤3(2+3p)33\le3\left(2+3p\right)  

a)

p<3p<3  

b)

p<11p<11  

c)

p≥3p\ge3  

25.

Solve this......

3(3−3n)<363\left(3-3n\right)<36  


a)

n<−3n<-3  

b)

n>−3n>-3  

c)

n≤−3n\le-3  

26.
.5(x - 8) < 2 
a)
x > 20
b)
x < 20
c)
x > 12
d)
x < 12
27.
4x - 3 < -1x + 12
a)
x > 3
b)
x < 3
c)
x < 5
d)
x > 5
28.
3(x - 3) ≤ 2(x + 2)
a)
x ≤ -5
b)
x ≥ 5
c)
x ≥ 13
d)
x ≤ 13
29.

3x+2=2+3x

a)

One Solution

b)

No Solution

c)

Infinitely Many

30.

2(x+3)=2x+6

a)

One Solution

b)

No Solution

c)

Infinitely Many

31.

-3x-5+5x=2(x+7)

a)

One Solution

b)

No Solution

c)

Infinitely Many

32.

10+3x=5(x-2)

a)

One Solution

b)

No Solution

c)

Infinitely Many

33.

-6+3x-(-8x)=12x+(-3)-5x

a)

One Solution

b)

No Solution

c)

Infinitely Many

34.

6(x+6)-6x=-6(x-6)+6x

a)

One Solution

b)

No Solution

c)

Infinitely Many

35.

-8(x-(-8))+8x=8(x+8)+8x

a)

One Solution

b)

No Solution

c)

Infinitely Many