expressions equationsphrases inequalities mixed 10 20 30 40 50

Expressions Equations Phrases Inequalities Mixed

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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)