Expressions Equations Phrases Inequalities Mixed

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Question 1 - 10

• Communicate the following description as an algebraic expression, making sure that the expression preserves the order of operations outlined in the description.

Write the expression for a number, multiplied by 3.

Answer 1 – 10

3x

Question 1 - 20

• Communicate the following description as an algebraic expression, making sure that the expression preserves the order of operations outlined in the description.

A number, multiplied by 3, take away 5, divide the result by 8.

Answer 1 – 20

(3x – 5)/8

Question 1 - 30

• Communicate the following description as an algebraic expression, making sure that the expression preserves the order of operations outlined in the description.

A number, multiplied by 10, take away 9, divide the result by 1, and finally add 15

Answer 1 – 30

((10x-9)/1) + 15

Question 1 - 40

• Communicate the following expressions as a description.

A number, take away 20, double the result, divide that by three, and finally add 5.

Answer 1 – 40

• A number, take away 20, double the result, divide that by three, and finally add 5.

• Answer

((2(x - 20))/3)+5

Question 1 - 50

• Communicate the following expressions as a description.

A number, double the number, add 100, quadruple the result, divide that by six, and add 7. Finally, take the opposite number of that result.

Answer 1 – 50

• A number, double the number, add 100, quadruple the result, divide that by six, and add 7. Finally, take the opposite number of that result.

• Answer:

-(((4(2x+100))/6)+7)

Question 2 - 10

• Solve for the unknown quantity in the following equation.

18 = 3x

Answer 2 – 10

x = 6

Question 2 - 20

• Solve for the unknown quantity in the following equation.

2 − 11 = 24𝑥

Answer 2 – 20

x = -2

Question 2 - 30

• Solve for the unknown quantity in the following equation.

4( −10) + 8 = 12𝑥

Answer 2 – 30

x = 11

Question 2 - 40

• Solve for the unknown quantity in the following equation.

5(2 – 4x) – 10 = - 6.5

Answer 2 – 40

x = .325

Question 2 - 50

• Solve for the unknown quantity in the following equation.

3( – 4x –3) + 3 = 4

Answer 2 – 50

(-5/6) or -.8333…

Question 3 - 10

• Translate the phrase into symbols.

g is no more than 50.

Answer 3 – 10

g ≤ 50

Question 3 - 20

• Translate the phrase into symbols.

b is at least – 2

Answer 3 – 20

b ≥ - 2

Question 3 - 30

• Translate the phrase into symbols.

z is more than 24.7

Answer 3 – 30

z > 24.7

Question 3 - 40

h is not less than ((8 + 2)/5)

Answer 3 – 40

h ≥ 2

Question 3 - 50

x less than (((1 + 1)/1)3) ÷ 2

Answer 3 – 50

x < 3

Question 4 - 10

• Solve the linear inequality and graph the solution on a number line.

2x > 12

Answer 4 – 10

x > 6

Question 4 - 20

• Solve the linear inequality and graph the solution on a number line.

4(x+2) > 12

Answer 4 – 20

x > 1

Question 4 - 30

• Solve the linear inequality and graph the solution on a number line.

-10x ≥ 50

Answer 4 – 30

x ≤ -5

Question 4 - 40

• Solve the linear inequality and graph the solution on a number line.

2(− +10) ≤ 18𝑥

Answer 4 – 40

x ≥ 1

Question 4 - 50

• Solve the linear inequality and graph the solution on a number line.

– (x + 2) – 20 > – 40

Answer 4 – 50

x < 18

Question 5 - 10

• What is the difference between expressions and equations?

Answer 5 – 10

Expressions do not have equal signs.

Question 5 - 20

What is a strict inequality?

Answer 5 – 20

Less than < and More than >

Not ≤ or ≥

Question 5 - 30

Which equation represents the picture model?

Answer 5 – 30

2x + 3 = 7

Question 5 - 40

Solve the following equation using the backwards method.

(2x + 5) = 17

Answer 5 – 40

Question 5 - 50

• Solve the equation using any method.

-2 (3x - 5) + 9 = 17

Answer 5 – 50

x = (1/3)