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MRY Algebra 1 Final Exam (92 PTS) (11/7/2023)

Last updated over 2 years ago

92 questions

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Solve. 9(x-3)=18

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-1

5

-5

Solve.     x+6(x+2)= -2

1

2

0

-2

Solve.     2x+0.7=4

1.65

1.8

-4

4

Which graph represents the solutions of the inequality: 4 - 3x < 19

A

B

C

D

Solve.      14+6x < -10

x<4

x>-4

x<-4

x>4

Solve:  -7(4x+10)+8x+120=-20

4

20

3.5

-20

What expression models the following phrase: “an hourly wage of $16 plus a $100 bonus.”

16-100h

16h+100

100-16h

100h+16

What are the coefficients in the given expression?  12x - y +6

12 and 6

12 and -1

12x, -1y, and 6

12, -1, and 6

Cell phone company A charges $140 for a phone plus a $50 monthly fee. Cell phone company B gives a free phone and charges $70 per month. After how many months will the total fee be equal?
Create equations for each company.    Company A: ___________ Company B: ___________

2

12

7

14

Select all that apply to represent the mathematical statement of the inequality shown on the graph. 

-2 > x > 5

-2 < x < 5

-2 > x > 5

x>-2 AND x<5

-2 < x < 5

Which relation is not a function?

{(-3, 4), (1, 4), (2, 4), (3, 4)}

{(3, 3), (2, 4), (1, 5), (0, 2)}

{(-3, 3), (-3, 0), (2, 1), (3, 5)}

{(-3, 3), (-2, 4), (-1, 5), (0, -2)}

What is the range given in the relation?

1 < x < 5

{1, 2, 3, 4, 5}

{2, 4, 6, 8, 10}

2 < y < 10

What is the domain given in the relation?

{-4, -1, 2, 5}

-4 < x < 5

-1 < y < 3

{-1, 1, 3, 5}

Ryan is planning a dinner for 15 people. The caterer charges $125 plus cost $20 per x, person. Which function can represent the situation?

f(x)= 20x+125

f(x)= 15x+125

f(x)= 125x+15

f(x)= 20x+15

Use the function, f(x)=8+2x to generate the first three terms of the sequence.

10, 12, 14, ...

2, 4, 6, …

10, 20, 30, …

2, 12, 22, …

What is the pattern in the given table?

Add 13

Subtract 68

Subtract 13

Add 68

Which equation correctly represents 9x - 3y = -18  in y=mx+b form?

y = - 3x - 6

y = 3x + 6

Find the x and y intercepts from the equation:
-4x + 2y = 24

(0,-6) and (12,0)

(-12,0) and (0,6)

(-6,0) and (0,12)

(0,6) and (12,0)

Which graph represents y = 2x - 3?

What is the slope of the given graph?

2

-2

1/2

-1/2

What does the x-intercept represent from the given graph?

140 circuit boards are made if all the capacitors are used

35 capacitors remain if 0 circuit boards are made

140 capacitors remain if 0 circuit boards are made

35 circuit boards are made if all the capacitors are used

What is the linear equation in slope intercept form if the slope is 4 and contains a point of (5,13)?  Hint: you need to use all the given info to find 'b'.

y = 4x + 13

y = 4x + 5

y = 4x + 4

y = 4x - 7

What is the linear equation in slope intercept form if the line contains the points (2, 7) and  (6, -1)?

y = -2x + 11

y = - 1/2x + 6

y = 2x + 11

y = -2x + 6

The Chess Club is fundraising by selling crossword puzzles for $5 and sudoku puzzles for $4. The club needs to raise $410. What standard form equation represents the situation?

5x - 4y = 410

5x + 4y = 410

410 + 4x = 5y

4x - 5y = 410

A tutor charges an initial fee of $50 plus a rate of $20 per hour. The function that shows the total fees charged is f(x) = 20x + 50. What is a new function, if the tutor increased their hourly rate by $5 per hour?

g(x) = 15x + 50

g(x) = 20x + 55

g(x) = 25x + 50

g(x) = 25x + 55

What linear inequality represents the given graph?

y > -3x -3

y < -3x -3

y < -3x -3

y > -3x -3

Which graph represents y > 2x - 2

A

B

C

D

If you solve a system and you get -5 = -5, then what do you know about the solution to that system of equations?

two solutions

no solution

one solution

infinite solutions

If you solve a system and you get -2 = -8, then what do you know about the solution to that system of equations?

two solutions

one solution

no solution

infinite solutions

Solve the system of equations.  Hint: Use substitution.
y = x
y = -2/3x + 5

(2,2)

(-2,-2)

(3,3)

(-3,-3)

When using substitution to solve this system of equations, what is the result of the first step?
x = 6y + 3
x + 2y = 5

6x + 3 + 2y = 5

x + 2(6x + 3) = 5

6y + 3 + 2y = 5

x + 2(6y + 3) = 5

Solve the system of linear equation.
y=3x+7
x+3y=11

(-1,4)

(3,7)

(1, 10)

(4,11) 

Solve the system of linear equation.
2x+y=7
3x-4y=5

(7,4)

(3,1)

(-3,-1)

(-1,9)

Solve the system of linear equation.
3x+y = 6
6x+2y=8

Infinitely Many

(0,-4)

(-4,0)

No solution

One smartphone plan costs $30 and $8 per gigabyte of data used each month. A second smartphone plan costs $60 and $3 per gigabyte of data used each month. After how many gigabytes will both company’s charge the same?
Create equations for each company.
Company A: ___________ Company B: ___________

7 gigabytes

12 gigabytes

6 gigabytes

14 gigabytes

A buffet dinner costs $7.00 for adults and $4.00 for children.  If a family of 8 paid $41.00, how many paid the adult price?

4

5

6

3

Which graph represents the solution to system of linear equations?

A

B

C

D

Alex is buying drinks and snacks for a party at his house and wants to spend less than $45. Drinks cost $2 each, and snacks cost $4 each. He needs to buy at least 11 drinks and snacks altogether. Which system represents this situation?

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B

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D

Which system of linear inequalities represents the graph shown?

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B

C

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Translate the statement below. "Five times the difference of a number and 3 is 17."

5n - 3 = 17

5(n - 3) = 17

5n/3 = 17

Solve the equation
5x + 1 = -49

X = 10

X = -10

X = 20

Solve the equation
13w - 2(4w + 1) = w - 58

W = -15

W = 14

W = -14

Identify the first step to solve the equation x/-4 + 7 = -1

Add 4

Subtract 7

Multiply by -4

Which line contains an error solving the equation?

Line 2

Line 3

Line 4

Line 5

Solve the equation for h

A

B

C

Which value of x is NOT in the solution to the compound inequality shown?

0

-1

2

Solve the inequality below:
-2(x - 5) < 4

x > 3

x < 7

x < 3

Solve the inequality shown.

A

B

C

Which graph represents the solution to the inequality shown?

A

B

C

Translate the statement below.
"A number is no more than 50."

A

B

C

Solve the inequality shown.

A

B

C

Solve and graph the inequality shown.

A

B

C

Identify ALL relations that represent functions.

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F

Given the function below, determine which of the following values will result in f(x)=10.

f(1)

f(4)

f(11)

Which could be the 5th ordered pair to remain a function?

(1, 9)

(5, 7)

(3, -4)

(0, -8)

What is the domain of the graph shown?

All real numbers greater than 0.

All real numbers.

All real numbers between -5 and 4.

What is the slope of the line whose equation is
2y = 3x + 4?

3

2

3/2

What is the slope of the line x = -5?

-5

5

0

Undefined

Which could be the table of values that was used to graph the function of x shown in the graph?

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B

C

None of the table values

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