Solve using pencil and paper.
\displaystyle
x + 5 = 9
Solve using pencil and paper.
\displaystyle
f- 7 = 3
Solve using pencil and paper.
\displaystyle
3h = 15
Solve using pencil and paper.
\displaystyle
\frac{k}{4} = 3
Solve using a Computer Algebra System (CAS).
\displaystyle
2x + 5 = 11
Solve using a Computer Algebra System (CAS).
\displaystyle
3y - 5= -8
Solve using a Computer Algebra System (CAS).
\displaystyle
10+4f=-34
Solve using a Computer Algebra System (CAS).
\displaystyle
-5m -3= 12
Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.
\displaystyle
5x + 2= 12
Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.
\displaystyle
3p + 8 = 5
Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.
\displaystyle
4 + 6w =2
Find the root of each equation using any method. Express fraction answers in lowest terms. Check each answer.
\displaystyle
-6 + 4u = -3
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.
Solve using pencil and paper.
5x+4=2x+13
Solve using pencil and paper.
4c-3=2c+5
Solve using pencil and paper.
-3r+7=-5r-3
Solve using pencil and paper.
-6g-4=-3g+2
Solve using a CAS.
2a+5=6a+9
Solve using a CAS.
3b-7=b+5
Solve using a CAS.
5n+8=8n-10
Solve using a CAS.
-7d+3=-3d+11
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.
Find the root of each equation using pencil and paper. Check each root.
\dfrac{1}{2}(x+3)=5
Find the root of each equation using pencil and paper. Check each root.
\dfrac{b-5}{7}=3
Find the root of each equation using pencil and paper. Check each root.
6=\dfrac{2}{3}m-1
Find the root of each equation using pencil and paper. Check each root.
-5=\dfrac{3d+4}{3}
Find the root of each equation using a CAS. Check each root.
4=\dfrac{5r+7}{3}
Find the root of each equation using a CAS. Check each root.
\dfrac{1}{3}(p+5)=2p-3
Find the root of each equation using a CAS. Check each root.
3q+15=\dfrac{1}{2}(q-5)
Find the root of each equation using a CAS. Check each root.
\dfrac{2b+5}{4}=3
Find the solution to each equation.
\dfrac{x-5}{3}=\dfrac{x+4}{4}
Find the solution to each equation.
\dfrac{3}{4}(y-2)=\dfrac{2}{3}(y+1)
Find the solution to each equation.
\dfrac{b+5}{3}=\dfrac{b-3}{5}
Find the solution to each equation.
\dfrac{3}{5}(v+2)=\dfrac{1}{2}(v-3)
Rearrange each formula to isolate the variable indicated.
F=ma for m (motion)
Rearrange each formula to isolate the variable indicated.
V=IR for I (voltage)
Rearrange each formula to isolate the variable indicated.
A=\pi r^2 for r (area of a circle)
Rearrange each formula to isolate the variable indicated.
P=2l+2w for w (perimeter of a rectangle)
Rearrange each formula to isolate the variable indicated.
y=mx+b for x (linear relations)
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.
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?
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.
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?