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Unit 1: Study Guide (Due 9/25/2023)

Last updated 12 months ago
35 questions

This is the study guide for Unit 1 covering 1.1 through 1.7


Complete the entire document and show your work for full credit.

You may use this on the test.

Day 1 9/22/23

Writing Expressions

Required
5

Translate this sentence into a mathematical expression:

“the difference of 5 times a number and 4"

Required
5

Translate this sentence into a mathematical expression:

“half a number plus four”

Required
5

Translate this expression into English:

4x+10

Required
5

Translate this expression into English:

6n-5

Simplifying Expressions

Required
10

Directions: Simplify this expression.

Required
10

Simplify each expression by distributing.

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


Day 2 9/23/23

Solving Multi-Step Equations

Required
10

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


  1. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  2. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  3. The solution is a = 5
  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. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
  2. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
  3. The solution is x = -4
  4. Simplify like terms to get the equation -7x - 3 = 25
  5. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
Required
10

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

Solving Equations with Variables on Both Sides

5

What term goes in the boxes?

10

Fill in box 3.

Required
10

Solve this equation

Required
10

Solve this equation

Required
10

Solve this equation

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.

Required
10

Solve and graph the inequality for the given variable.

Solving Proportions

Required
10

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


Required
10

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


Word Problems involving Proportion

Required
10


Jasmine bought 2000 robux for $16 with her parents' money. At the same exchange rate, how many robux can Lisa buy if she stole $32 from her parents?

Word Problems involving Equations

Finding Two Numbers

Required
20
The larger of two numbers is twice the smaller number. If 12 is subtracted from the larger
number, the result is 7 more than the smaller number. Find the numbers.

Smaller Number _______

Larger Number _______


Finding the Perimeter of a Rectangle

Required
20
The length of a rectangle is three centimeters less than twice its width. If the perimeter of
the rectangle is 18 centimeters, find its dimensions.

Length _______

Width _______


Finding Consecutive Numbers


Required
20
The sum of two consecutive numbers is 85. Find the numbers.

1st number_______

2nd number _______


Required
30
The sum of three consecutive odd numbers is 57. What are the three numbers?

1st odd number_______

2nd odd number _______

3rd odd number_______