Quiz about Eureka Algebra Cumulative

Question 1

Determine whether the equation is true or false:

3²+ 4² = 7²

Accepted Answer

False

Answer

True

Question 2

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

Accepted Answer

True

Answer

False

Question 3

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

Accepted Answer

False

Answer

True

Question 4

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

Accepted Answer

False

Answer

True

Question 5

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 6

9y+8=9y-8

Accepted Answer

No Solution

Answer

One Solution

Answer

Infinite Solution

Question 7

3(x-8)=3x-24

Accepted Answer

Infinite Solutions

Answer

No Solution

Answer

One Solution

Question 8

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

Accepted Answer

One Solution

Answer

No solution

Answer

Infinite Solutions

Question 9

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 10

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 11

8v - 4(v + 8) = 8

Accepted Answer

10

Answer

2

Answer

4

Answer

-4

Question 12

38 + 7k = 8(k + 4)

Accepted Answer

6

Answer

8

Answer

-6

Answer

1

Question 13

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

Accepted Answer

no solution

Answer

54

Answer

-54

Answer

all real numbers

Question 14

Solve:
6x+10>5x-12

Accepted Answer

x>-22

Answer

x>2

Answer

x<2

Answer

x<-22

Question 15

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 16

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 17

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 18

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 19

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 20

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 21

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

Accepted Answer

x = 0, x = -3

Answer

x = -3

Answer

x = 0

Answer

No solution

Question 22

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 23

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 24

What values do you know cannot be a solution to the following without needing to solve: $$\frac{3}{x+4}=\frac{2}{x}$$

Accepted Answer

$$x e-4,\ x e0$$

Answer

$$x e2,\ x e3$$

Answer

Answer

$$x e2,\ x e3,\ x e-4,\ x e0$$

Question 25

What values do you know cannot be a solution to the following without needing to solve: $$\frac{3x-4.5}{x+4}=\frac{x-17}{2x+3}$$

Accepted Answer

$$x e-4,\ x e-\frac{3}{2}$$

Answer

Answer

$$x e\frac{3}{2},\ x e17$$

Answer

$$x e-4,\ x e0$$

Question 26

Rewrite the following as a compound statement, exluding the value(s) of x that lead to a denominator of 0. $$\frac{3}{x-2}=\frac{x+4}{x+5}$$

Accepted Answer

Question 27

Rewrite the following as a compound statement, exluding the value(s) of x that lead to a denominator of 0. $$\frac{3}{3x}=\frac{x-7}{2x+6}$$

Accepted Answer

Question 28

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 29

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 30

Question 30.

Accepted Answer

(5f+h) / 2

Answer

(2.5+h)f

Answer

g=1

Answer

f(5+h)/2

Question 31

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 32

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 33

Select the graph for y >  -2x - 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 34

Which point below is NOT part of the solution set?

Accepted Answer

(-10, -10)

Answer

(0, 0)

Answer

(-1, 5)

Answer

(5, 20)

Question 35

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 36

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 37

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 38

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

Accepted Answer

Solution

Answer

Not a solution

Question 39

Which point is a solution?

Accepted Answer

(1, 0)

Answer

(0, 6)

Answer

(-3, 4)

Answer

(-4, 3)

Question 40

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

Accepted Answer

(7,0)

Answer

(-7,0)

Answer

(6,0)

Answer

(-6,0)

Question 41

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

5x+4y=4

Accepted Answer

(4,-4)

Answer

(-4,4)

Answer

(4,4)

Answer

(-4,-4)

Question 42

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

Accepted Answer

no solution

Answer

infinite solutions

Answer

(0,0)

Answer

(2,1)

Question 43

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

Accepted Answer

(0,-2)

Answer

(2,0)

Answer

no solution

Answer

infinite solutions

Question 44

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

Accepted Answer

(-3, -2)

Answer

(5, -7)

Answer

(3, 9)

Answer

(-5, 4)

Question 45

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 46

Solve each system by substitution.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 47

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 48

How many solutions will this system have?

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

No Clue

Answer

One solution

Question 49

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 50

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 51

What is the solution to the system?

Accepted Answer

(6, -2)

Answer

(3, -1)

Answer

(2, -6)

Answer

No Solution

Question 52

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 53

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 54

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

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