Free Printable Midterm review 1

1.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

Which operation will cancel out multiplication?

a)

A. Addition

b)

B. Subtraction

c)

C. Multiplication

d)

D. Division

3.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

4.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

5.

In the equation

x + 7 = 12

7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

a)

Add -7 to both sides.

b)

add -12 to both sides

c)

add +7 to both sides

d)

add +12 to both sides

6.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

7.

Volume of a pyramid

a)

4/3 𝝅r^3 h

b)

1/3 𝝅r^2* h

c)

1/3 (area of base) * h

d)

(area of base) * h

8.

Solve the volume formula for h: $V=\frac{1}{3}Bh$

a)

$h=\frac{1}{3}VB$

b)

$h=\frac{3V}{B}$

c)

$h=\frac{B}{3V}$

d)

$h=3VB$

9.

What is the height (h) of a pyramid that has a Base area of $30cm^2$ and a volume (V) of $60cm^3$

a)

1 cm

b)

3 cm

c)

9 cm

d)

6 cm

10.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

11.

Write the percent as a decimal.
4.3%

a)

4.3

b)

.43

c)

.043

d)

4300

12.

Write the decimal as a percent.
0.37

a)

37%

b)

3.7%

c)

.37%

13.

Jordan invests $200 into an account that earns 4% interest compounded annually. Write the formula to find the amount of money in the account after t years.

a)

$f\left(t\right)=200\left(0.04\right)^t$

b)

$f\left(t\right)=200\left(1.04\right)^t$

c)

$f\left(t\right)\ =\ 200\left(4\right)^t$

d)

$f\left(t\right)=200\left(0.96\right)^t$

14.

If the value of a car decreases by 5% each month and it's worth $32,000 when you buy it, what will the car be worth in 40 months?

a)

$225000

b)

$0

c)

$4112

d)

$3855

15.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

16.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

17.

What is the solution to this system of equations? Solve by substitution or graphing.

a)

(7, -8)

b)

(-7, 8)

c)

(-7, -8)

d)

(7, 8)

18.

When does a system of equations have no solutions?

a)

When the lines cross

b)

When slopes of the lines are different

c)

When the slopes are the same

d)

There is ALWAYS a solution sir!

19.

Solve by elimination
-12x-4y= -8
-6x-2y= -4

a)

no solution

b)

(0,0)

c)

infinite solutions

d)

(4,0)

20.

Parallel lines have ____ solution(s).

a)

No

b)

One

c)

Many

21.

Intersecting lines have _____ solution(s).

a)

No

b)

One

c)

many

22.

Two equations that produce the same line have _____ solution(s).

a)

no

b)

one

c)

infinitely many

23.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

24.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

25.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

26.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

27.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

28.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

29.

Tell whether the ordered pair
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

a)

Yes

b)

No

30.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

31.

What's the vertex of the parabola?

a)

(-2,4)

b)

(-1,1)

c)

(0,0)

d)

(2,4)

32.

The vertex of the parabola is the...

a)

maximum

b)

minimum

c)

axis of symmetry

d)

line of symmetry

33.

(0,0) on this graph is the...

a)

vertex and minimum

b)

vertex and maximum

c)

symmetry point

d)

range

34.

Name the y-intercept.

a)

(-4,4)

b)

(0,4)

c)

(-2,0)

d)

(0,0)

35.

What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?

a)

76, 70, 64, 58

b)

76, 82, 88, 94

c)

70, 64, 58, 52

d)

82, 88, 94, 100

36.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

37.

Dividing by 12 is the same as ...

a)

× 12

b)

÷ 1/12

c)

× 1/12

d)

+ 12

38.

-5, -1, 3, 7, 11
What is the recursive rule?

a)

$A_1=-5,\ A_n=A_{\left(n-1\right)}\ +\ 4$

b)

$A_1=-5,\ A_n=A_{\left(n-1\right)}-9$

c)

$A_1=-5,\ A_n=A_{\left(n-1\right)}-5$

d)

$A_1=-5,\ A_n=A_{\left(n\right)}-4$

39.

Find the explicit formula:
-3, -33, -63, -93, ...

a)

a_n = -3 - 30(n -1)

b)

a_n = -3 + 30(n -1)

c)

a_n = -30 - 3(n -1)

d)

a_n = -30 + 3(n -1)

40.

An independent variable is the ______

a)

x variable

b)

y variable

Midterm review 1

Total questions: 40

Worksheet time: 1hrs 20mins

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