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Unit 1: Study Guide (Due 9/28/22 SoC)

Last updated 12 months ago
39 questions

Writing Expressions

Required
5

Translate this expression.

“the difference of 5 times a number and 4"

Required
5

Translate this expression.

“half a number plus four”

Required
5

Translate this expression.

“the sum of four times a number and ten”

Required
5

Translate this expression.

“the difference of six times a number and five”

Simplifying Expressions

Required
10

Directions: Simplify each expression.

Required
10

Simplify each expression by distributing.


Required
10

Simplify each expression by distributing and combining like terms.


Required
10

Directions: Simplify each expression.

Required
10

Directions: Give the perimeter of each figure as a simplified expression.

Evaluating Expressions

Required
10

Evaluate each expression using the variable replacements.


Required
10

A scientist measures the air temperature in Death Valley, California, and records 45 °C. The expression:

1.8c + 32

gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius (c). Find the temperature in degrees Fahrenheit that is equivalent to 45 °C.


Solving Equations

Required
4

Put the steps to solving this equation in the right order.

  1. add 7 to both sides of the equation
  2. Before we start solving, we identify the variable a, so we can solve for it the variable
  3. the result is x=7
  4. divide both sides of the equation by 3
Required
10

Solve this equation.


Required
2

What is the first step to solving this equation?

Required
2

What is the second step to solving this equation?

Required
10

Solve this equation.


Required
10

Solve this equation.

4b - 5 = -33


Required
10

Solve this equation.


Day 2 9/27/22

Solving Multi-Step Equations

Required
10

Put the steps in the correct order to solve this multistep equation.


  1. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  2. The solution is a = 5
  3. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  4. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
  5. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
Required
10

Solve this multi-step equation. Show your work (SYW)

Required
10

Put the steps in the correct order to solve this multistep equation.


  1. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
  2. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
  3. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
  4. The solution is x = -4
  5. Simplify like terms to get the equation -7x - 3 = 25
Required
10

Solve this multi-step equation. Show your work (SYW)

Solving Equations with Variables on Both Sides

Required
5

What term goes in the boxes?

Required
10

Fill in box 3.

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

Solving Proportions

10
Cross multiply and fill in each box with the right product.

a. _______

b. _______
Required
5

Solve each proportion. Show your work! Or suffer the consequences...


Required
5

Solve each proportion. Show your work! Or suffer the consequences...


Required
10
Cross multiply and fill in each box with the right product.
a. _______

b. _______

Required
10

Solve each proportion. Show your work! Or suffer the consequences...


Required
10

Solve each proportion. Show your work! Or suffer the consequences...


Required
10

Solve each proportion. Show your work! Or suffer the consequences...


Literal Equations

Solving Literal Equations

Required
10

Directions: Solve this equation for the specific letter. SHOW ALL STEPS!

Required
10

Directions: Solve this equation for the specific letter. SHOW ALL STEPS!

Required
10

Directions: Solve this equation for the specific letter. SHOW ALL STEPS!

Solving and Graphing Inequalities

Required
10

Solve and graph the inequality for the given variable.

Required
10

Solve and graph the inequality for the given variable.