Free Printable Mixed Topics Alg 1

1.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

beans

c)

x-intercept

d)

slope

2.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-intercept

3.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

3x

4.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

4

c)

5

d)

-5

5.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

6.

After adding x to each side, the resulting equation is shown below:

-x + 2y = -10

2y = x - 10

The final step to solve for y would be to ____________.

a)

divide each term by 2

b)

divide each term by -2

c)

add 2 to each side

d)

subtract 2 from each side

7.

When converting the equation

-x + 2y = -10

into slope-intercept form, the first step to solve for y would be to ____________.

a)

add x to each side

b)

subtract x from each side

c)

add 2y to each side

d)

subtract 2y from each side

8.

Which equation is perpendicular to y = 8 and pasess through point (2, -7)?

a)

x = 2

b)

x = -7

9.

What kind of slope is shown here?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

10.

Which line on this graph is $y=-4x+8$ ?

a)

red

b)

black

c)

purple

d)

green

11.

Are these line parallel or perpendicular?

a)

parallel

b)

perpendicular

12.

Are these line parallel or perpendicular?

a)

parallel

b)

perpendicular

13.

Are these line parallel or perpendicular or neither?

a)

parallel

b)

neither

c)

perpendicular

14.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

15.

Slopes of perpendicular lines are...

a)

opposite reciprocals (flip fraction)

b)

opposites.

c)

the same.

d)

always 7.

16.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Hint: compare the slopes or graph on desmos.

17.

Which equation is parallel to x = -2 and passess through point (-1, 7)

a)

x = -1

b)

x = 7

c)

y = -1

18.

Choose the linear equation that is parallel to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

Hint: compare the slopes or graph on desmos.

19.

Choose the linear equation that is perpendicular to the following line

$y=-\frac{1}{4}x-1$

a)

Hint: compare the slopes or graph on desmos.

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=\frac{4}{1}x-3$

20.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

Hint: Graph the given equation on desmos, then graph the answer choices to find the one that passes through the given point and is parallel/perpendicular.

21.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

Hint: Graph the given equation on desmos, then graph the answer choices to find the one that passes through the given point and is parallel/perpendicular.

d)

y = -2/3x + 2

22.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

23.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

a)

2

b)

-2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

24.

What is the equation of a line that passes through (-2, -5) and is parallel to

$y=x+3$

a)

y = x - 3

b)

y = x + 5

c)

y = -x - 3

d)

Hint: Graph the given equation on desmos, then graph the answer choices to find the one that passes through the given point and is parallel/perpendicular.

25.

What is the equation of a line that passes through the point (0, -4) and is perpendicular to

$y=-\frac{3}{2}x+1$

a)

$y=\frac{2}{3}x-4$

b)

$y=\frac{2}{3}x+4$

c)

$y=-\frac{2}{3}x-4$

d)

Hint: Graph the given equation on desmos, then graph the answer choices to find the one that passes through the given point and is parallel/perpendicular.

26.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

27.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

28.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

29.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

30.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

31.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

32.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

33.

Solve the system by using the substitution method

a)

$\left(3,\ 6\right)$

b)

$\left(6,\ 3\right)$

c)

$\left(1,\ 4\right)$

d)

$\left(4,\ 1\right)$

34.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

35.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

36.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

37.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

38.

Joe has $150 in his savings account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

39.

A plant is 5cm tall and growing at a rate of 3cm a month.

a)

y = 5 - 3x

b)

y = 5x + 3

c)

y = 3x +5

40.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. What is the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

41.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

42.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

43.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

44.

Less than:

a)

≥

b)

≤

c)

<

d)

>

45.

Greater than or equal to:

a)

<

b)

≤

c)

≥

d)

>

46.

Which graph best represents the following inequality?

a)

b)

c)

d)

47.

Which point below is NOT a part of the solution set? Remember solutions for a single inequality are points located on the shaded area or solid line.

a)

(0, 0)

b)

(-2, 2)

c)

(-100, -3)

d)

(5, -5)

48.

Which of the following equations match the given graph?

a)

y ≤ -5/4 x + 3

b)

y ≥ -5/4 x + 3

c)

y < 5/4 x + 3

d)

y > -5/4 x + 3

49.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

50.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

51.

y ≥ -9x + 5

a)

solid line/shaded above

b)

dashed line/shaded above

c)

solid line/shaded below

d)

dashed line/shaded below

52.

y < 3x - 3

a)

dashed line/shaded below

b)

dashed line/shaded above

c)

solid line/shaded below

d)

solid line/shaded above

53.

a)

b)

c)

d)

54.

y ≥ 5 will have what type of line?

a)

dashed

b)

solid

55.

x ≥ 2 will be shaded

a)

above

b)

below

56.

If the inequality is $y>2x+5$ , which test point is valid? Remember that a solutions are points located on the solid line or overlapping areas.

a)

(0, -6)

b)

(0, 4)

c)

(-2, -1)

d)

(0, 6)

57.

How would you graph $y\le-3x+4$ ?

a)

Dashed line, shade above

b)

Solid line, shade below

c)

Dashed line, shade below

d)

Solid line, shade above

58.

Is (0,0) a solution to the system? Remember that a solutions are points located on the solid line or overlapping areas.

a)

Solution

b)

Not a solution

59.

Which system of inequalities is shown? Remember that the solution are is the overlapping areas.

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

60.

Which point are solution? select all that apply. Remember that a solutions are points located on the solid line or overlapping areas.

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(3, 4)

Mixed Topics Alg 1

Total questions: 60

Worksheet time: 3hrs 3mins

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