Algebra
How many terms are in the expression below:
17n + 24
2; two
What is the constant is the expression below:
7a + 4b - 3 + 3c
-3; negative three
For the equation below decide if it is true of false:
4 × (3 + 2) = 10 + 10
True
Solve the below equation:
14 ÷ g = 7
g = 2
Fill in the blank:
A rare event is considered __________.
unlikely; not likely, improbable
Write an expression for the below statement:
"t is subtracted from 10"
Write an expression for the expression below:
7 is added to m, the result is then divided by 3
(m + 7) ÷ 3
Write an equation for the below statement:
The product of 'd' and 'y' is 57
dy = 57
Solve the below equation (use working):
5u + 1 = 21
u = 4
List the sample space of a choosing a random suit from a deck of cards.
Given that a = 2 and b = 3 evaluate the expression below:
7ab + b
45; forty-five
Simplify the expression below:
9x ÷ 3xy
3y
1) Write an equation for the problem:
Chairs cost $x at a store. The cost of 6 chairs is $546.
2) Find the cost of one chair.
6x = 546
One chair costs $91.
For the equation below state the operation used to go from the first to the second line of working:
18 = 6x
3 = x
Divided by 6 on both sides.
A bag contains 4 red, 2 blue and 6 yellow cars. What is the probability of choosing a yellow car?
Pr(Yellow) = 6/12 = 1/2 or;
0.5 or;
50%
Simplify the expression below:
5a + 2b - a - 6b
4a - 4b
Given that t = 5 evaluate the expression below:
6t - 4 + [(t ÷ 2) × 4]
36; thirty-six
Find two possible values that make the equation below true:
k × (8 - k) = 12
k = 2
k = 6
List the steps in the right order of how to solve the equation below algebraically:
(2y ÷ 3) + 5 = 7
1) Subtract 5 on both sides
2) Multiply by 3 on both sides
3) Divide by two on both sides
The following numbers were rolled on a die:
1, 5, 2, 5, 2, 1, 5, 4, 2, 3
How many times would you expect to roll a 1 in 200 rolls?
(2/10) × 400
= 40 times
In AFL a 'goal' is worth 6-points and a 'behind' is worth 1-point. This means the total score for a team is:
6g + b
What is the score if a team scored 7 goals and 13 behinds?
6 × 7 + 13
42 + 13
55 goals
Expand the expression below using the distributive law:
4e (3f + 2k)
12ef + 8ek
Jonas is paid $17/hour and gets paid a bonus of $65 each week. One particular week he earned $643.
Write an equation to solve the problem.
17t + 65 = 643
Alexa watched some television on Monday. She then watched twice as many hours as she watched on Monday on Tuesday. On Wednesday she watched twice as much TV again. If she watches a total of 10.5 hours from Monday to Wednesday, how much television did Alexa watch on Monday?
h + 2h + 4h = 14
Pr(Factor of 8) = 4/9 = 1/2