Basic Algebra
Simplify: 3x+5x
8x
x+5=12
x=7
What is the next number in the pattern: 3,6,9,12,___
15
John has x apples. Mary has 3 more apples than John. Write an expression, in terms of x, for the number of apples Mary has.
X+3
A farmer has chickens and cows. Together, they have 4 heads and 12 legs. How many chickens and cows does the farmer have?
2 cows and 2 chickens
4a−2a+7
2a+7
2x=16
x=8
Write the rule for the pattern: 2,4,8,16,…
Multiply by 2.
A rectangle’s length is 2x and its width is x+3. Write an expression for the perimeter.
6x+6
Create the two biggest numbers possible from these four numbers. Each number can be used only once.
Use the digits 1, 2, 3, and 4
41 and 32
or 42 and 31
2x+3y−x+5y
x+8y
3x+4=19
x=5
The 1st term of a sequence is 5, and the rule is "add 7." What is the 4th term?
26
A car rental company charges €50 per day plus €5 per kilometer driven. Dave hires the car for 4 days and drives 270km. How much does he have to pay?
1550
I am a number. Multiply me by 4, subtract 6, and you get 18. What number am I?
6
3(x+2)+2(x−1)
5x+4
5x−7=21-2x
x=4
A sequence is defined as Tn=3n+2. What is the 5th term?
17
One side of a rectangle has a lenght of 2x+3 and the opposite side has a lenght of 7. Whats the value of x
x=7
If there are 11 matchsticks,how many triangles can I make from these?
5
(5x+4)2
25x2+40x+16
x2−5x+6=0
Both answers are whole numbers
x=2
x=3
Tn=2n2+2
Whats the 5th term
52
A farmer plants a rectangular field of carrots. The length of the field is 4 meters, and the width is x−2 meters.
x=2
Today Emily is 4 years younger than twice her brother’s age. If her brother is 8 years old, how old will Emily be in two years time?
14 years old