Linear Equations Chapter Review
Chapter
Chapter 4
Section
Linear Equations Chapter Review
Solutions 36 Videos

Solve for the unknown.

a) \displaystyle 8 + m = - 2 

b) \displaystyle k - 7 = -11 

c) \displaystyle 3x = 18 

d) \displaystyle \frac{h}{5} = -4 

Q1

Find the root of each question.

a) \displaystyle 2y - 7 = 13 

b) \displaystyle 4 + 5v = -21 

Q2ab

Find the root of each question.

a) \displaystyle 9 - 2x = -1 

b) \displaystyle -3s - 6 = 9 

Q2cd

Find the root.

a) \displaystyle 3n + 8 = 20 

b) \displaystyle 9 -4r = - 27 

c) \displaystyle 5x - 2 = 18 

d) \displaystyle -7y - 6 = -20 

Cindy has $2.50 to spend on milk and candy. The milk costs$0.70. Her favourite candies cost $0.12 each. a) Write an equation that models the number of candies that Cindy can afford. b) Solve the equation. Buy to View Q4 Solve using pencil and paper. \displaystyle 3 + 2n + 6m = 19  Buy to View Q5a Solve using pencil and paper. \displaystyle 72 - 4 + 2 + 12 = 0  Buy to View Q5b Solve using pencil and paper. \displaystyle 3x + 7 = 2x - 3  Buy to View Q5c Solve using pencil and paper. \displaystyle 5w - 6 = -4w + 3  Buy to View Q5d Solve using pencil and paper. \displaystyle 5 + 5y = 2y + 9  Buy to View Q6a Solve using pencil and paper. \displaystyle 7 + 3k - 2= 4k  Buy to View Q6b Solve using pencil and paper. \displaystyle 2w-9 + 5w + 2 =0  Buy to View Q6c Solve using pencil and paper. \displaystyle -5 + 7n = 9n + 11  Buy to View Q6d Find p. \displaystyle 4 - (3p -2) = p - 10  Buy to View Q7a Find h. \displaystyle 3 + (h -2) = 5 + 3h  Buy to View Q7b Find n. \displaystyle 2(n - 8) = -4(2n -1)  Buy to View Q7c Find n. \displaystyle 3(2k - 5) -k = 4 -(3k + 7)  Buy to View Q7d A triangle has angle measures that are related as follows: • the largest angle is eight times the smallest angle • the middle angle is triple the smallest angle Find the measures of the angles. Buy to View Q8 Find the root of the equation using pencil and paper. \displaystyle \frac{1}{3}(x - 1) =4  Buy to View Q9a Find the root of the equation using pencil and paper. \displaystyle \frac{b -4}{3} = -5  Buy to View Q9b Find the root of the equation using pencil and paper. \displaystyle 3 = \frac{3}{4}(p - 1)  Buy to View Q9c Find the root of the equation using pencil and paper. \displaystyle -3 = \frac{5x + 4}{7}  Buy to View Q9d Find the root of the equation using pencil and paper. \displaystyle 7 = \frac{6q + 8}{4}  Buy to View Q10a Find the root of the equation using pencil and paper. \displaystyle \frac{1}{2}(u -5) = 2u + 5  Buy to View Q10b Find the root of the equation using pencil and paper. \displaystyle \frac{y- 8}{3} = \frac{y + 4}{2}  Buy to View Q11a Find the root of the equation using pencil and paper. \displaystyle \frac{2}{3}(w - 5) = \frac{3}{4}(w+ 2)  Buy to View Q11b Find the root of the equation using pencil and paper. \displaystyle \frac{c + 3}{4} = \frac{c - 5}{6}  Buy to View Q11c Find the root of the equation using pencil and paper. \displaystyle \frac{2}{5}(x + 3) = \frac{1}{2}(x - 5)  Buy to View Q11d Rearrange each formula to isolate the variable indicated. P = a + b + c for a Buy to View Q12a Rearrange each formula to isolate the variable indicated. C = \pi d for d Buy to View Q12b Rearrange each formula to isolate the variable indicated. a = \frac{F }{m} for F Buy to View Q12c Rearrange each formula to isolate the variable indicated. d = mt + b for t Buy to View Q12d The power, P, in an electric circuit is related to the current, I, and resistance, R, by the formula P = I^2R. a) Find the power, in watts (W), when the current is 0.5 A (amperes) and the resistance is 600 \Omega (ohms). b) What is the resistance of a circuit that uses 500 W of power with a current of 2 A? c) The resistance in a circuit is 4 \displaystyle \Omega . The same circuit uses 100 W of power. Find the current in the circuit. Buy to View Q13 The total of three sisters’ ages is 39. Dina is half as old as Michelle and 3 years younger than Juliette. How old are the sisters? Buy to View Q14 Sven sells hamburgers at a ballpark. He earns$7.50/h, plus $0.40 for each hamburger he sells. a) How much will Sven earn in a 3-h shift if he sells 24 hamburgers? b) How many hamburgers must Sven sell to earn$100 in a 6.5-h shift?