4.6 Chapter Review
Textbook
9 Math workbook
Chapter
Chapter 4
Section
4.6
Solutions 43 Videos

Solve using pencil and paper.

\displaystyle x + 5 = 9 

Q1a

Solve using pencil and paper.

\displaystyle f- 7 = 3 

Q1b

Solve using pencil and paper.

\displaystyle 3h = 15 

Q1c

Solve using pencil and paper.

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

Q1d

Solve using a Computer Algebra System (CAS).

\displaystyle 2x + 5 = 11

Q2a

Solve using a Computer Algebra System (CAS).

\displaystyle 3y - 5= -8 

Q2b

Solve using a Computer Algebra System (CAS).

\displaystyle 10+4f=-34 

Q2c

Solve using a Computer Algebra System (CAS).

\displaystyle -5m -3= 12 

Q2d

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

\displaystyle 5x + 2= 12 

Q3a

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

\displaystyle 3p + 8 = 5 

Q3b

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

\displaystyle 4 + 6w =2 

Q3c

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

\displaystyle -6 + 4u = -3 

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?

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