4.6 Chapter Review
Textbook
9 Math Workbook
Chapter
Chapter 4
Section
4.6
Purchase this Material for $8
You need to sign up or log in to purchase.
Subscribe for All Access
You need to sign up or log in to purchase.
Solutions 43 Videos

Solve using pencil and paper.

\displaystyle x + 5 = 9

Buy to View
Coming Soon
Q1a

Solve using pencil and paper.

\displaystyle f- 7 = 3

Buy to View
Q1b

Solve using pencil and paper.

\displaystyle 3h = 15

Buy to View
Q1c

Solve using pencil and paper.

\displaystyle \frac{k}{4} = 3

Buy to View
Q1d

Solve using a Computer Algebra System (CAS).

\displaystyle 2x + 5 = 11

Buy to View
Q2a

Solve using a Computer Algebra System (CAS).

\displaystyle 3y - 5= -8

Buy to View
Coming Soon
Q2b

Solve using a Computer Algebra System (CAS).

\displaystyle 10+4f=-34

Buy to View
Coming Soon
Q2c

Solve using a Computer Algebra System (CAS).

\displaystyle -5m -3= 12

Buy to View
Coming Soon
Q2d

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

\displaystyle 5x + 2= 12

Buy to View
Coming Soon
Q3a

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

\displaystyle 3p + 8 = 5

Buy to View
Q3b

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

\displaystyle 4 + 6w =2

Buy to View
Q3c

Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.

\displaystyle -6 + 4u = -3

Buy to View
Q3d

John has $23.65 to spend on a book and magazines. The book costs $5.95. The magazines cost $2.95 each.

a) Write an equation that models the number of magazines that John can afford.

b) Solve the equation.

Buy to View
Q4

Solve using pencil and paper.

5x+4=2x+13

Buy to View
Q5a

Solve using pencil and paper.

4c-3=2c+5

Buy to View
Q5b

Solve using pencil and paper.

-3r+7=-5r-3

Buy to View
Q5c

Solve using pencil and paper.

-6g-4=-3g+2

Buy to View
Q5d

Solve using a CAS.

2a+5=6a+9

Buy to View
Q6a

Solve using a CAS.

3b-7=b+5

Buy to View
Q6b

Solve using a CAS.

5n+8=8n-10

Buy to View
Q6c

Solve using a CAS.

-7d+3=-3d+11

Buy to View
Q6d

A triangle has angle measures that are related as follows:

  • The largest angle is 12 times the smallest angle.

  • The middle angle is 5 times the smallest angle.

Find the measures of the angles.

Buy to View
Q7

Find the root of each equation using pencil and paper. Check each root.

\dfrac{1}{2}(x+3)=5

Buy to View
Q8a

Find the root of each equation using pencil and paper. Check each root.

\dfrac{b-5}{7}=3

Buy to View
Q8b

Find the root of each equation using pencil and paper. Check each root.

6=\dfrac{2}{3}m-1

Buy to View
Q8c

Find the root of each equation using pencil and paper. Check each root.

-5=\dfrac{3d+4}{3}

Buy to View
Q8d

Find the root of each equation using a CAS. Check each root.

4=\dfrac{5r+7}{3}

Buy to View
Q9a

Find the root of each equation using a CAS. Check each root.

\dfrac{1}{3}(p+5)=2p-3

Buy to View
Q9b

Find the root of each equation using a CAS. Check each root.

3q+15=\dfrac{1}{2}(q-5)

Buy to View
Q9c

Find the root of each equation using a CAS. Check each root.

\dfrac{2b+5}{4}=3

Buy to View
Q9d

Find the solution to each equation.

\dfrac{x-5}{3}=\dfrac{x+4}{4}

Buy to View
Q10a

Find the solution to each equation.

\dfrac{3}{4}(y-2)=\dfrac{2}{3}(y+1)

Buy to View
Q10b

Find the solution to each equation.

\dfrac{b+5}{3}=\dfrac{b-3}{5}

Buy to View
Q10c

Find the solution to each equation.

\dfrac{3}{5}(v+2)=\dfrac{1}{2}(v-3)

Buy to View
Q10d

Rearrange each formula to isolate the variable indicated.

F=ma for m (motion)

Buy to View
Q11a

Rearrange each formula to isolate the variable indicated.

V=IR for I (voltage)

Buy to View
Q11b

Rearrange each formula to isolate the variable indicated.

A=\pi r^2 for r (area of a circle)

Buy to View
Q11c

Rearrange each formula to isolate the variable indicated.

P=2l+2w for w (perimeter of a rectangle)

Buy to View
Q11d

Rearrange each formula to isolate the variable indicated.

y=mx+b for x (linear relations)

Buy to View
Q11e

The power, P, in an electric circuit is related to the voltage, V, and resistance, R, by the formula P=\dfrac{V^2}{R}.

a) Find the power, in watts (W), when the voltage is 100 V (volts) and the resistance is 50 \Omega (ohms).

b) What is the resistance of a circuit that uses 100 W of power with a voltage of 20 V?

c) The resistance of a circuit is 15 \Omega. The same circuit uses 60 W of power. Find the voltage in the circuit.

Buy to View
Q12

The total of three cousins’ ages is 48. Suresh is half as old as Hakima and 4 years older than Saad. How old are the cousins?

Buy to View
Q13

Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.

a) How much will Adila earn in a 4-h shift if she sells 35 T-shirts?

b) How many T-shirts must Adila sell to earn $80 in a 6-h shift?

Buy to View
Q14

Ramesh sells hot dogs at a ball game. He earns $8.50/h, plus $0.35 for each hotdog he sells.

a) How much will Ramesh earn in a 4-h shift if he sells 52 hot dogs?

b) How many hot dogs must Ramesh sell to earn $103 in an 8-h shift?

c) How many hot dogs must Ramesh sell to earn $79 in a 6-h shift?

Buy to View
Q15