Quiz about Algebra Eureka Module 1, Topic C Cumulative Review

Question 1

Determine whether the equation is true or false:

3²+ 4² = 7²

Accepted Answer

False

Answer

True

Question 2

Determine if x = 4 is a solution to the equation.
12 + 5x - 8 = 12x - 10

Accepted Answer

False

Answer

True

Question 3

Determine if x = 6 is a solution to the equation.
2(3x - 4) = 3x + 1

Accepted Answer

False

Answer

True

Question 4

What property of equality justifies why the equations (x-1)(x+3)=17+x and (x-1)(x+3)=x+17 have the same solution set?

Accepted Answer

Commutative

Answer

Distributive

Answer

Associative

Answer

None of the above, they are not equal

Question 5

9y+8=9y-8

Accepted Answer

No Solution

Answer

One Solution

Answer

Infinite Solution

Question 6

3(x-8)=3x-24

Accepted Answer

Infinite Solutions

Answer

No Solution

Answer

One Solution

Question 7

6(m+3)=2(m+5)

Accepted Answer

One Solution

Answer

No solution

Answer

Infinite Solutions

Question 8

Identify the property used to simplify.

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Distributive Property

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 9

Write the following solution in set builder notation:

y > 10

Accepted Answer

{ y is real | y > 10 }

Answer

{ y > 10 }

Answer

{ y is real | y < 10 }

Answer

( -0, 10 )

Question 10

8v - 4(v + 8) = 8

Accepted Answer

10

Answer

2

Answer

4

Answer

-4

Question 11

38 + 7k = 8(k + 4)

Accepted Answer

6

Answer

8

Answer

-6

Answer

1

Question 12

4(-8x + 5) = -32x - 26

Accepted Answer

no solution

Answer

54

Answer

-54

Answer

all real numbers

Question 13

Solve:
6x+10>5x-12

Accepted Answer

x>-22

Answer

x>2

Answer

x<2

Answer

x<-22

Question 14

Which of the following is a solution of x - 6 < 6 AND x + 4 > -1?

Accepted Answer

2

Answer

-6

Answer

14

Answer

12

Question 15

Which of the following compound inequalities would result in this graph?

Accepted Answer

x > -2 and x > -4

Answer

x > -2 or x > -4

Answer

x > -2 and x < -4

Answer

x > -2 or x < -4

Question 16

Which of the following would result in no solution?

Accepted Answer

x < 3 and x > 10

Answer

x > 3 and x < 10

Answer

x > 3 or x < 10

Answer

x < 3 or x < 10

Question 17

Which compound inequality would result in this graph?

Accepted Answer

-4< x < 2

Answer

x > -4 or x < 2

Answer

2 < x <-4

Answer

x < -4 or x < 2

Question 18

Solve: 8r - 5 > 6r - 1 or 4 + 4r < 3r - 3

Accepted Answer

r < -7 or r > 2

Answer

All real numbers

Answer

r > 2

Answer

r < -7

Question 19

Solve for x: (x-6)(x+5)=0

Accepted Answer

x = 6, x = -5

Answer

x = -6, x = 5

Answer

x = 11, x = 1

Answer

x = 0, x = 6, x = -5

Question 20

Solve for x: x(3+x)=0

Accepted Answer

x = 0, x = -3

Answer

x = -3

Answer

x = 0

Answer

No solution

Question 21

Solve for x: (4x-2)(x+2)(x-3)(x+1)=0

Accepted Answer

x = .5, x = -2, x = 3, x = -1

Answer

x = 4, x = 2, x = -2, x = 3, x = -1

Answer

x = -.5, x = 2, x = -3, x = 1

Answer

All real numbers

Question 22

Solve for x: 3x²+9x=0

Accepted Answer

x = -3, x = 0

Answer

x = 3, x = -3

Answer

No real solution

Answer

All real numbers

Question 23

ax + c = R
(solve for x)

Accepted Answer

x = ^(R-c)/_a

Answer

ax = R + c

Answer

ax = R - c

Answer

x = a(R-c)

Question 24

ax + c = R
(solve for x)

Accepted Answer

x = ^(R-c)/_a

Answer

ax = R + c

Answer

ax = R - c

Answer

x = a(R-c)

Question 25

Question 25.

Accepted Answer

(5f+h) / 2

Answer

(2.5+h)f

Answer

g=1

Answer

f(5+h)/2

Question 26

Solve for z:
A = nz + d

Accepted Answer

z = (A - d)/n

Answer

z = A/nd

Answer

z = A/(n + d)

Answer

z = A / (n - d)

Question 27

which equation best represents this graph?

Accepted Answer

y >1/2x + 2

Answer

y < 1/2x + 1

Answer

y < 1/2x + 2

Answer

y > 2x

Question 28

Select the graph for y >  -2x - 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 29

Which point below is NOT part of the solution set?

Accepted Answer

(-10, -10)

Answer

(0, 0)

Answer

(-1, 5)

Answer

(5, 20)

Question 30

Consider the function y<2x+3. Which is true?

Accepted Answer

None of these.

Answer

The line would be solid with shading above.

Answer

The line would be dashed with shading above.

Answer

The line would be solid with shading below.

Question 31

Which system of inequalities matches the graph?

Accepted Answer

x > 2
y <- 4

Answer

x> -2
y < -4

Answer

x< 2 y> 4

Answer

x > 2
y < 4

Question 32

Which system of inequalities matches the graph?

Accepted Answer

x > 2
y <- 4

Answer

x> -2
y < -4

Answer

x< 2 y> 4

Answer

x > 2
y < 4

Question 33

Is (0,0) a solution to the system?

Accepted Answer

Solution

Answer

Not a solution

Question 34

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 35

Solve by elimination:
4x+9y=28
-4x-y=-28

Accepted Answer

(7,0)

Answer

(-7,0)

Answer

(6,0)

Answer

(-6,0)

Question 36

Solve by elimination:
-9x-4y=-20

5x+4y=4

Accepted Answer

(4,-4)

Answer

(-4,4)

Answer

(4,4)

Answer

(-4,-4)

Question 37

Solve by elimination
-12x-10y= 0
6x+5y= -1

Accepted Answer

no solution

Answer

infinite solutions

Answer

(0,0)

Answer

(2,1)

Question 38

Solve by elimination
-6x+y= -2
-3x-6y= 12

Accepted Answer

(0,-2)

Answer

(2,0)

Answer

no solution

Answer

infinite solutions

Question 39

Solve:
y = -1x - 5
4x - 8y = 4

Accepted Answer

(-3, -2)

Answer

(5, -7)

Answer

(3, 9)

Answer

(-5, 4)

Question 40

What is the solution to this system?
x= 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 41

Solve each system by substitution.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 42

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 43

How many solutions will this system have?

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

No Clue

Answer

One solution

Question 44

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 45

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 46

What is the solution to the system?

Accepted Answer

(6, -2)

Answer

(3, -1)

Answer

(2, -6)

Answer

No Solution

Question 47

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "x" represents # of adult tickets and "y" represents # of children's tickets.

Accepted Answer

x + y = 21
6x + 4y = 104

Answer

x + y = 104
6x + 4y = 21

Answer

x + y = 21
6y + 4x = 104

Answer

x + y = 104
6x + 4y = 21

Question 48

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

Accepted Answer

35 nachos, 52 sodas

Answer

18 nachos, 69 sodas

Answer

52 nachos, 35 sodas

Answer

61 nachos, 26 sodas

Question 49

The sum of 2 numbers is 33. The smaller number is 8 less than 7 times lager number.
Let x= the smaller number and y=the larger number.
Pick which system of equations follows this problem.

Accepted Answer

x=7y-8
x+y=33

Answer

x=8-7y
x+y=33

Answer

7x+8y=33
x+y=n

Answer

2+x=33
x=8y-7

Algebra Eureka Module 1, Topic C Cumulative Review

63 questions

Determine whether the equation is true or false:
3²+ 4² = 7²

Determine whether the equation is true or false:
$3^2+4^2=5\cdot\left(\sqrt{81}-2\cdot2\right)$

Determine if x = 4 is a solution to the equation.
12 + 5x - 8 = 12x - 10

Determine if x = 6 is a solution to the equation.
2(3x - 4) = 3x + 1

What property of equality justifies why the equations (x-1)(x+3)=17+x and (x-1)(x+3)=x+17 have the same solution set?

9y+8=9y-8

3(x-8)=3x-24

6(m+3)=2(m+5)

Identify the property used to simplify.

Write the following solution in set builder notation:
y > 10

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Algebra Eureka Module 1, Topic C Cumulative Review

63 questions

Determine whether the equation is true or false:32 + 42 = 72

Determine whether the equation is true or false: 32+42=5⋅(81−2⋅2)3^2+4^2=5\cdot\left(\sqrt{81}-2\cdot2\right)32+42=5⋅(81​−2⋅2)

Determine if x = 4 is a solution to the equation.12 + 5x - 8 = 12x - 10

Determine if x = 6 is a solution to the equation.2(3x - 4) = 3x + 1

What property of equality justifies why the equations (x-1)(x+3)=17+x and (x-1)(x+3)=x+17 have the same solution set?

9y+8=9y-8

3(x-8)=3x-24

6(m+3)=2(m+5)

Identify the property used to simplify.

Write the following solution in set builder notation:y > 10

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Determine whether the equation is true or false:
3²+ 4² = 7²

Determine whether the equation is true or false:
$3^2+4^2=5\cdot\left(\sqrt{81}-2\cdot2\right)$

Determine if x = 4 is a solution to the equation.
12 + 5x - 8 = 12x - 10

Determine if x = 6 is a solution to the equation.
2(3x - 4) = 3x + 1

Write the following solution in set builder notation:
y > 10