Algebraic expressions and equations
powers
Linear and non-linear relations
measurement
100
solve for the unknown variable.
6x=42
x=7
100
write in expanded form.
34
3x3x3x3
100
is this table of values linear or non-linear.
linear
100
find the perimeter of this shape.
P=52m
200
simplify the following.
4a + 3ab +2b - ab + 5b
2ab + 4a + 7b
200
simplify the following expressions using the appropriate exponent laws.
10x7/2x6
= 5x
200
explain the differences and similarities between the two lines.
y=2/3x - 4 and y=-3x
they have different slopes and y-intercepts.
200
Aiden travels 2.4km in his boat to visit his cousin, Davie, who lives across the river at Pike road. Aiden's house is 1.5km from Pike road. what is the width of the river to the nearest tenth of a kilometre?
the width is 1.87km.
300
solve the following equation.
-2g + 10 = -11 - 3g
g=-21
300
A horse has an average mass of about 6 x 102 kg. a squirrel has an average mass of about 2 x 10-2 kg. approximately how many times more mass does a horse have than a squirrel? ( hint: divide one by the other)
a horse has 30,000 more mass than the squirrel.
300
graph the following: 2x + 3y = 12
equation should be y=-2/3x +4
points on graph should be (0,4), (3.2) , (6,0)
300
A cone shaped trophy is being made from a plastic cylinder with the same height and base as the final conical trophy. how much plastic will be removed to make the cone trophy? round your answer to the nearest hundredth.
the diameter of the cylinder is 15cm and the height is 24cm.
answer is 1414.29 cm3
400
solve the following equation.
2(3x-2)= -4(x+6)
x=-2
400
simplify and evaluate the following.
(3xy/xy-4)2
= 9y10
400
write an equation to represent this situation.
y=3n -2
400
determine the volume of the following pyramid. round your answer to the nearest hundredth.
the height is 7.6cm, the length is 11.4, and the width is 1.5in.
conversions:
1in= 2.54cm
1cm= 0.3937in
72.78cm3
500
solve the following equation.
1/4(3x+2)=-5/2
x=-4
500
simplify the following.
4a+b x 4a-b = 4?
=42a
500
graph inequalities y ≥ 1 and < -3x +2. be sure to show dotted lines and solid lines where appropriate. shade in where the two inequalities overlap with a different colour.
the areas shaded are the area above the line y=1. shade the area below the line y=-3x +2.
500
two industrial storage tanks are being selected. one is a cylindrical storage tank, and the other is a spherical tank. which of the following storage tank has a greater volume?
the diameter of the sphere is 70ft. the diameter of the cylinder is 36.5m and the height is 5m.
conversions: 1ft= 0.3048m, 1m=3.2808ft.
the cylindrical tank has a greater volume.