Algebra
What does the symbol = mean?
= means equal on both (left and right) sides
Tom has 8 dollars and Mary has half of his total. How many dollars does Mary have?
4 dollars
Write down the algebraic expression for the following: Divide y by 4
y ÷ 4
Find 4a − 3 = 5
a = 2
Solve f if 4 + f < 8
f < 3
What is a constant?
A constant is a number
Tom has 3 dollars. Jerry has 4 more dollars then Tom. Mary has triple the amount of dollars then Jerry. How many dollars does Mary have?
Mary has 21 dollars.
Find the answer of: e x f - 10. If e = 8 and f = 9.
62
Create a balanced equation if x = 3 and the answer is 16
E.g. 5x + 1 = 16
Solve j (whole numbers only) if 15 x j > 80
j > 6
What is a variable?
A variable is either a letter or a symbol
Sarah has 70 apples. She gives 7 apples to each of her friends. If Sarah has 9 friends, how many apples will she have left?
Sarah will have 7 apples left.
What is the algebraic expression for "twice the sum of a number and 4"?
2(x+4)
Solve x: 18x ÷ 6x - 8 = 40
x = 16
Find y if y x 7 - 8 ≥ 76
Smallest number possible for y is 12
What is the function of rods and algebra tiles?
Rods are to represent unknown variables. Algebra tiles are to represent constants.
Tom has some marbles. He gives away 8 marbles and then buys 5 more. If he now has 23 marbles, how many marbles did he start with?
Tom started with 26 marbles.
Find the answer of: 3x + 2x -5. If x = 5
20
Is this equation balanced? Why? 3x - 5 = 16
Yes. You can solve this equation and find the unknown value x = 7
What is the lowest possible value for x if 14 ≤ x - 29
x = 43
What is a part-part-whole model?
A part-part-whole model is a diagram that shows a relationship between parts and a whole.
Two siblings, Sarah and Jack, are playing a marble game. Sarah has 10 more marbles than twice the number of marbles Jack has. They have a total of 85 marbles, how many marbles does Jack have?
Jack has 25 marbles.
How many books has Amy read in a week if she read twice as many books on the second day as the first day, twice as many books on the third day as the second day, and so on till the seventh day. What is the algebraic expression for the total number of books she read?
y + 2y + 4y + 8y + 16y + 32y + 64y = 127y
A classroom has some desks arranged in rows. The teacher removes 4 desks from the classroom. Later, the school adds 8 new desks for additional students. After these changes, there are 36 desks in the classroom. How many desks were there in the beginning?
x = 32
Create an inequality. At a school fair, students can purchase tickets for rides and games. Each ride costs $3, and each game costs $2. The total amount spent on tickets must not exceed $15.
E.g. 3x + 2y ≤ 15