Topic 4 Review

Topic 4 Review

Solving for a variable.

• Isolate the variable.

• Do the inverse.

• Make sure it is done on both sides.

• Ex: m + 3.2 = 10

Multiple Select

Choose the equations where the variable equals 7.

• 8x = 56

• n + $2\frac{2}{3}$  =  $9\frac{2}{3}$  

• 15 - y = 7

Multiple Choice

What is the value of t in the following equation?  t +  $\frac{1}{4}$  =  $2\frac{7}{12}$  

•  $2\frac{5}{6}$  

•  $1\frac{4}{12}$  

•  $2\frac{1}{3}$  

Open Ended

Noah wrote that 6 + 6 = 12. Then he wrote that 6 + 6 - n = 12 - n. Are his equations balanced? Explain your thinking.

Inequalities

• Every inequality needs a number, symbol, and variable.

• The symbols include  $>,<,\ge,\le$  

• There are two types of circles: open or closed.

Open Ended

Ed's birthday is less than 16 days away. Ann writes the inequality d  $\le$ 16 where d equals the number of days. Is Ann correct? Explain your thinking.

Multiple Choice

Which graph represents the solutions  of the inequality p  $\ge$  10?

Multiple Choice

Mr. Daniels is organizing a class trip on a budget of $900. The bus rental costs $600. Mr. Daniels will also buy tickets that cost $9.50 per student. Which inequality represents the number of students, y, that Mr. Daniels can bring on the trip?

• 9.5y $\ge$ 600

• y $>$ 300

• 9.50y $\le$ 300

Substitution

• When we know what a variable equals.

• Take the variable out and put the number in to solve the equation.

Multiple Select

Choose all the equations that are true if x = 9.

• x $\div$ 27 = 4

• 32.54 - 23.54 = x

• 5x = 45

Tables

• To find a pattern we need to look across 2 variables.

• Use that pattern to find the missing numbers.

Fill in the Blanks

April pays a dog walking service $30 each week to walk her dog. Complete blank #1 to show how many dollars, d, April spends on the dog walking in w weeks.

Multiple Choice

April pays a dog walking service $30 each week to walk her dog. Complete blank #2 to show how many dollars, d, April spends on the dog walking in w weeks.

• 130

• 150

• 180

Multiple Choice

Which equation can be used to describe the pattern in the table?

• b + a = 5

• b = a - 5

• a = b - 5

Graphs

• Choose a point on the graph to substitute your x and y.

• If that point works try another.

• Make sure all points work to find the correct equation.

Multiple Choice

Which of the following equations was used to graph the line?

• y = x $\div$ 2
  

• y = x + 2
  

• y = x - 2

Multiple Select

Which ordered pairs will fall on the line shown, y = x $\div$ 2?

• (4, 2)

• (10, 5)

• (1, 2)

Independent and Dependent Variables

• Independent Variable - The numbers that can stand alone.

• Dependent Variable - The numbers that change due to the independent variable.

• "This depends on this" - dependent

• "This determines this" - independent

Multiple Choice

The manager of a water park keeps track of the amount of money collected, m, and the number of tickets sold, t, each day. Which best describes the variables m and t?

• The variable m is independent variable because it depends on the number of tickets sold, t.

• The variable t is the independent variable because it affects the amount of money collected, m, each day.

• The variable t is the dependent variable because it depends on the amount of money collected, m, each day.