2023-24 First Quiz

Multiple Choice

4 = 2(x + 3)

• 1/2
• 7/2
• -1
• 5

Multiple Choice

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

Multiple Choice

3y+6+4y-7=-8

• y=-1
• y=-8
• y=1
• y=7

Multiple Choice

10(h+1)-4=76

• h=10
• h=4
• h=7
• h=76

Multiple Choice

7(1 - y) = -3(y - 2)

• x = 1/4
• x = 4
• x = 5

Multiple Choice

2x + 3 = 2x + 3

• 0
• 1
• no solution
• all real numbers

Multiple Choice

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

Multiple Choice

10(h+1)-4=76

• h=10
• h=4
• h=7
• h=76

Multiple Choice

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

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

3x - 8 = 3(x - 4) + 1
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

• one, x = 5
• no solutions
• infinite solutions
• one, x = -2

Multiple Choice

3x - 8 = 3(x - 4) + 1
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

• one, x = 5
• no solutions
• infinite solutions
• one, x = -2

Multiple Choice

2(3x+7) = x +10 +5x + 4

• 2
• -4
• no solution
• all real numbers

Multiple Choice

2(3x+7) = x +10 +5x + 4

• 2
• -4
• no solution
• all real numbers

Multiple Choice

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

Multiple Choice

2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?

• 96h = 8
• h/96 = 8
• 8h = 96
• h/8 = 96

Multiple Choice

2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?

• 96h = 8
• h/96 = 8
• 8h = 96
• h/8 = 96

Multiple Choice

Simplify 5x + 3 -2x + 1

• 7x² +4
• 5x+1
• 7x + 4
• 3x+4

Multiple Choice

Translate into an expression:
two more than three times x 

• 3x-2
• 2>3x
• 2+3x
• 2(3x)

Multiple Choice

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Multiple Choice

Solve the equation
-8x - 8 +3(x - 2) = -3x + 2

• x = -8
• x = 8
• x = 2
• x = -2

Multiple Choice

 What is the second step in solving the following equation?
-3x + 5 = 20

• Subtract 5 from both sides
• Divide both sides by -3
• Divide both sides by 3
• add 3x to both sides

Multiple Choice

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

• <, >
• ≤, ≥ 

Multiple Choice

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

• ≤, ≥ 
• <, >

Multiple Choice

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12
• 2x + 8 > 12
• 2(x+8) ≠ 12
• 8(2+x) 

Multiple Choice

Which inequality represents the situation six more than twice a number is greater than 50?

• 6 + x > 50
• 6 + 2x < 50
• 2x + 6 > 50
• 6x + 2 > 50

Multiple Choice

Which inequality represents the situation six more than twice a number is greater than 50?

• 6 + x > 50
• 6 + 2x < 50
• 2x + 6 > 50
• 6x + 2 > 50

Multiple Choice

Greater than

• <
• >
• ≥
• ≤

Multiple Choice

Less than or equal to:

• ≤
• <
• >
• ≥

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

When graphing b ≤ 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

Which graph matches the inequality
k < 3?

• A
• B
• C
• D

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

Karen has $25 to buy her best friend a gift.  How much can the gift cost?
Let x represent the cost of the gift.

• x > 25
• x ≥ 25
• x < 25
• x ≤ 25

Multiple Choice

What inequality does the number line graph represent?

• 2x +1 < -3
• x + 2 < 4
• -x + 3 > 1
• x + 4 >= 2

Multiple Choice

Would your graph go to the left or right when you graph x ≥ 4?

• Left
• Right

Multiple Select

WARM-UP

Which statements are true when comparing -13 and -4.

• -13 > -4
• -4 < -13
• -13 < -4
• -4 > -13

Multiple Select

Given x > 3, choose all numbers that could be x.

• 3

• -3

• 12

• 4

• 1,895

Multiple Select

Given x > 3, choose all numbers that could be x.

• 3

• -3

• 12

• 4

• 1,895

Multiple Select

Given x ≤ -7, choose all numbers that could be x.

• -7

• -9

• -6

• -1

• -129

Multiple Choice

Which graph represents

x < 3

Multiple Choice

Which graph represents

x ≥ -17

Draw

Graph: -2 > x

Multiple Choice

Which graph represents

16 > x

Multiple Select

Which inequalities represent the graph?

• x < -4

• x > -4

• -4 > x

• -4 < x

Multiple Choice

What inequality does the number line graph represent?

• $$x\le-4$$  

• $$x\ge-4$$  

• x < -4
• x < 4

Multiple Choice

What inequality does the number line graph represent?

• $$x\ge3$$  

• x > 3
• x < -3
• $$x\le3$$  

Multiple Choice

 Pick the correct inequality.

• A

• B

• C

• D

Multiple Choice

• greater than
• less than
• less than or equal to
• greater than or equal to

Multiple Choice

 Which inequality can be represented by the graph?

• x < 5
• x > 5
• x ≤  5
• x ≥ 5

Multiple Choice

 Which inequality can be represented by the graph?

• x < 5
• x > 5
• x ≤  5
• x ≥ 5

Multiple Choice

• x ≤ -2

• x < -2

• x > -2

• x ≥ -2

Multiple Choice

Which inequality matches the graph?

• x<3

• x>3

• x<3

• x>3

Multiple Choice

Which inequality matches the graph?

• x<3

• x>3

• x<3

• x>3

Multiple Choice

When the following inequality is graphed, what will it look like?

2 > f

• open circle

• closed circle

Multiple Choice

Which inequality represents the graph?

• X > 3

• X $$\ge$$ 3

• X < 3

• X $$\le$$ 3

Multiple Choice

Which inequality represents the graph?

• X > - 1

• X $$\ge$$ -1

• X < -1

• X $$\le$$ -1

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

When the following inequality is graphed, what will it look like?

r < -12.97

• open circle

• closed circle

Multiple Choice

x is less than or equal to 24

• x > 24
• x < 24
• x ≤ 24
• x ≥ 24

Multiple Choice

x>5

• x is greater than 5
• x is less than 5
• x is zero

Multiple Choice

WARM UP: What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

Multiple Choice

WARM UP: What inequality does the number line graph represent

• $$x<-4$$
  

• $$x>-4$$
  

• $$x\le-4$$
  

• $$x\ge-4$$
  

Graph x ≥ 4 and x ≤ 7

If we put them on the same number line they would overlap.

(so I put them just above)

Where they OVERLAP is all that should be graphed. (in Purple)

Multiple Choice

Which graph represent  $$x\ge-14$$  and  $$x<-4$$  ?

x ≥ -14 need a closed circle and x < -4 needs and open circle.

Multiple Choice

Which graph represent  $$x<7$$  and  $$x\ge-1$$  ?

Another way to write the Inequalities

When they use the word 'AND'

low number < x < high number

Example: x < 10 and x ≥ -2

-2 ≤ x < 10

The numbers become the endpoints, just use the proper inequality symbol.

Multiple Choice

Which compound inequality represents:  $$x<4$$  and  $$x\ge-10$$  

• $$-10<x\le4$$  
  

• $$-10<x<4$$

• $$-10\le x\le4$$

• $$-10\le x<4$$

Multiple Choice

Which graph represents the compound inequality  $$-5<x<15$$  ?

Graph x < -2 or x ≥ 5

x < -2 is on the graph in red

x ≥ 5 is on the graph in blue

Draw the lines on the same graph

Multiple Choice

Which graph represents  $$x\le-4$$  or  $$x>0$$  ?

Multiple Select

Which inequalities represent the graph?

_______ or _______

• $$x\ge-10$$

• $$x\le-10$$

• $$x>20$$

• $$x<20$$

• $$-10\le x<20$$

Multiple Select

Which numbers are NOT is the solution set of the graph?

• 0

• 4

• 8

• -4

• 10

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Multiple Choice

Pick the correct letter for:
6 > x

• A
• B
• C
• D

Multiple Choice

What inequality does the number line graph represent?

• x >= 3
• x > 3
• x < -3
• x <= 3

Multiple Choice

Which graph matches the inequality
r ≥ -6?

• A
• B
• C
• D

Multiple Choice

What inequality is graphed?

• x > 2 and x < 4
• x ≥ 2 and x ≤ 4
• x > 2 or x < 4
• x ≥ 2 or x ≤ 4

Multiple Choice

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Multiple Choice

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Multiple Choice

• x < 0 or x ≥ 2

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

Multiple Select

Select all possible solutions for this inequality.

• 1

• 2

• 3

• 4

• 2.5

Multiple Choice

• x > -3 or x > 1

• x < -3 or x < 1

• x ≥ 3 and x ≤ 1

• x > -3 and x < 1

Multiple Select

Select all possible solutions to this inequality.

• -2

• -1

• -1.5

• 1

Multiple Choice

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Multiple Choice

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Multiple Choice

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Multiple Choice

Write an inequality for Graph 3.

• 5 < x ≤ -2

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Multiple Choice

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Multiple Choice

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Multiple Choice

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Multiple Choice

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Multiple Choice

What inequality is graphed?

• x > 2 and x < 4
• x ≥ 2 and x ≤ 4
• x > 2 or x < 4
• x ≥ 2 or x ≤ 4

Multiple Choice

Write an inequality for Graph 1.

• x < -2 AND x > 5

• x < -2 OR x > 5

• x > -2 OR x < 5

• -2 < x < 5

Multiple Choice

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Multiple Choice

Which compound inequality is graphed above?

• -2 ≤ x ≤ 2
• -2 ≥ x ≥ 2
• 2 < x < -2
• -2 > x > 2

Multiple Choice

What inequality is shown?
Pay close attention to the signs!

• x ≥ 0 OR x < 5
• 0 ≤ x ≤ 5
• 0 ≤ x < 5
• 0 ≥ x > 5

Multiple Choice

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3