Linear Equations
Find the value of x
8(x-3) + 1 = 15
x = 4.75
Find the value of a
-3a - 7 > 4a
a < -7
Solve the simultaneous equation using either substitution or elimnation
2x + y = 7
x - y
x = 3
y = 1
A ball is dropped from a building. Height is given by
h = 60 − 5t2
What is the height of the ball above ground after 3 seconds?
15 m
What is the most common surname in the United States?
Smith
Find the value of x
7x/3 = 21
x = 9
Find the value of z
3z - 12(4z + 5) > 12
z < -8/5
Solve the simultaneous equation using either substitution or elimnation
a = 2
b = 5
15 is subtracted from the square of a number and the result is 66. What are the possible numbers?
x = 9 OR x = −9
Which element on the periodic table has the chemical symbol Fe?
Iron
Find the value of m
(3m-12)/4 = 4.5
m = 10
Find the value of f
7f+11/-6 < 4
Solve the simultaneous equation using either substitution or elimnation
n = 2
m = 6
x2 − 49 = 0
x = ±7
Who is commonly credited with inventing the telephone?
Alexander Graham Bell
A gym charges a $30 sign-up fee plus $15 per week for membership. If Mia has spent $135 altogether, how many weeks has she been a member for?
4 weeks
Sam has some amount of dollars and his brother has $12 less than him. Together they have more than $48. How much money Sam have?
x > 30
A cafe sells small and large coffees. On Monday, they sold 4 small coffees and 3 large coffees for a total of $27. On Tuesday, they sold 2 small coffees and 5 large coffees for a total of $31. Find the cost of a single small coffee and a single large coffee.
Small Coffee is $3
Large Coffee is $5
3x2 = 5x2 − 50
x = 5 OR x = -5
Every Christmas, which country gives a giant Christmas tree to the UK as a token of gratitude for support during World War II?
Norway
A concert ticket company charges a one-time booking fee of $45 and $28 per ticket. Liam also buys a food package costing $36. If he spends a total of $305, how many tickets did he buy?
8 tix
A school is selling tickets for a fundraiser. Adult tickets cost x dollars and student tickets cost $8 less than the adult tickets. If 3 adult tickets and 4 student tickets cost more than $140 altogether, solve the inequality for x.
x > 172/7
OR
x > $24.57 (2 d.p.)
An electronics store sells two types of headphones: Model A and Model B. Model B costs $20 less than Model A. The store manager counts the inventory and notes that selling 5 pairs of Model A and 8 pairs of Model B brings in a total revenue of $880. Find the individual price of Model A and Model B headphones.
Model A costs $80
Model B costs $60
Determine for which values of c the equation
x2 + c = 0 has 1 solution
c = 0
What country has 3 capital cities?
South Africa:
Pretoria
Cape Town
Bloemfontein