Algebra Grade 4
1. Find the missing number in this equation: 21 ! x = 2
2. What number has the word name: “three tens, four hundreds, nine ones, and three
thousands”?
3. If you multiple two mystery numbers together, you get 32. If one of the mystery numbers
was four, what was the other mystery number?
4. Your bookcase has fourteen shelves, each of which can hold 24 of your books. How many
books would it take to completely fill the whole bookcase?
5. If your friend’s age, in years, is two more than yours, and the sum of your two ages is 34,
what is your age?
6. If 15% of some number is 150, what is that number?
7. Mr. Bojangles’ super lucky bouncy ball can bounce five times as high as the average bouncy
ball. If the sum of the heights that the average bouncy ball and Bojangles’ bouncy ball
bounce to is 42 feet, how high can the average bouncy ball bounce?
8. If the sum of four consecutive numbers is 170, what is the greatest of the four numbers?
9. For what value(s) of x does the following equation hold true?
2 x ! 13 = 9
10. Three friends, Ariel, Barry, and Chip, decided to combine their money to buy a pizza. To be
fair, though, each person got a portion of the pizza equal to the portion that they contributed.
If Ariel contributed $5, Barry contributed $3, and Chip contributed $2, what portion of the
pizza should Chip get? Express your answer as a fraction.
Algebra Grade 5
1. If you multiple two mystery numbers together, you get 32. If one of the mystery numbers
was four, what was the other mystery number?
2. Your bookcase has fourteen shelves, each of which can hold 24 of your books. How many
books would it take to completely fill the whole bookcase?
3. If your friend’s age, in years, is two more than yours, and the sum of your two ages is 34,
what is your age?
4. If 15% of some number is 150, what is that number?
5. Mr. Bojangles’ super lucky bouncy ball can bounce five times as high as the average bouncy
ball. If the sum of the heights that the average bouncy ball and Bojangles’ bouncy ball
bounce to is 42 feet, how high can the average bouncy ball bounce?
6. If the sum of four consecutive numbers is 170, what is the greatest of the four numbers?
7. For what value(s) of x does the following equation hold true?
2 x ! 13 = 9
8. Three friends, Ariel, Barry, and Chip, decided to combine their money to buy a pizza. To be
fair, though, each person got a portion of the pizza equal to the portion that they contributed.
If Ariel contributed $5, Barry contributed $3, and Chip contributed $2, what portion of the
pizza should Chip get? Express your answer as a fraction.
9. Three sets of baseball cards and five sets of football cards cost the same as six sets of
baseball cards. If one set of football cards costs $18, how much does one set of baseball
cards cost?
10. What is the slope of a line that goes through the origin (0, 0) and the point (2, 5)?
Algebra Grade 6
1. If your friend’s age, in years, is two more than yours, and the sum of your two ages is 34,
what is your age?
2. If 15% of some number is 150, what is that number?
3. Mr. Bojangles’ super lucky bouncy ball can bounce five times as high as the average bouncy
ball. If the sum of the heights that the average bouncy ball and Bojangles’ bouncy ball
bounce to is 42 feet, how high can the average bouncy ball bounce?
4. If the sum of four consecutive numbers is 170, what is the greatest of the four numbers?
5. For what value(s) of x does the following equation hold true?
2 x ! 13 = 9
6. Three friends, Ariel, Barry, and Chip, decided to combine their money to buy a pizza. To be
fair, though, each person got a portion of the pizza equal to the portion that they contributed.
If Ariel contributed $5, Barry contributed $3, and Chip contributed $2, what portion of the
pizza should Chip get? Express your answer as a fraction.
7. Three sets of baseball cards and five sets of football cards cost the same as six sets of
baseball cards. If one set of football cards costs $18, how much does one set of baseball
cards cost?
8. What is the slope of a line that goes through the origin (0, 0) and the point (2, 5)?
9. If the sum of two numbers is 31 and the product of those same numbers is 228, what is the
larger of the two numbers?
10. If a line goes through the points (4, 7) and (8, 12), at what point will the line hit the y-axis?
Algebra Grade 7
1. Mr. Bojangles’ super lucky bouncy ball can bounce five times as high as the average bouncy
ball. If the sum of the heights that the average bouncy ball and Bojangles’ bouncy ball
bounce to is 42 feet, how high can the average bouncy ball bounce?
2. If the sum of four consecutive numbers is 170, what is the greatest of the four numbers?
3. For what value(s) of x does the following equation hold true?
2 x ! 13 = 9
4. Three friends, Ariel, Barry, and Chip, decided to combine their money to buy a pizza. To be
fair, though, each person got a portion of the pizza equal to the portion that they contributed.
If Ariel contributed $5, Barry contributed $3, and Chip contributed $2, what portion of the
pizza should Chip get? Express your answer as a fraction.
5. Three sets of baseball cards and five sets of football cards cost the same as six sets of
baseball cards. If one set of football cards costs $18, how much does one set of baseball
cards cost?
6. What is the slope of a line that goes through the origin (0, 0) and the point (2, 5)?
7. If the sum of two numbers is 31 and the product of those same numbers is 228, what is the
larger of the two numbers?
8. If a line goes through the points (4, 7) and (8, 12), at what point will the line hit the y-axis?
9. After a successful weekend running a lemonade stand, Rhea decided to give a third of her
money to charity. With the money she then had left, she decided to put half of it into her
secret hiding spot. She then had $20 left in her hand. How much money did she make
originally?
10. A neighborhood of rather talented kids decided to run a talent show to help raise money for
charity. They decided that adult tickets would cost $4 and child tickets would cost $2. If 50
people showed up for the talent show, and they were able to make $140 for charity, how
many adults came to the show?
Algebra Grade 8
1. For what value(s) of x does the following equation hold true?
2 x ! 13 = 9
2. Three friends, Ariel, Barry, and Chip, decided to combine their money to buy a pizza. To be
fair, though, each person got a portion of the pizza equal to the portion that they contributed.
If Ariel contributed $5, Barry contributed $3, and Chip contributed $2, what portion of the
pizza should Chip get? Express your answer as a fraction.
3. Three sets of baseball cards and five sets of football cards cost the same as six sets of
baseball cards. If one set of football cards costs $18, how much does one set of baseball
cards cost?
4. What is the slope of a line that goes through the origin (0, 0) and the point (2, 5)?
5. If the sum of two numbers is 31 and the product of those same numbers is 228, what is the
larger of the two numbers?
6. If a line goes through the points (4, 7) and (8, 12), at what point will the line hit the y-axis?
7. After a successful weekend running a lemonade stand, Rhea decided to give a third of her
money to charity. With the money she then had left, she decided to put half of it into her
secret hiding spot. She then had $20 left in her hand. How much money did she make
originally?
8. A neighborhood of rather talented kids decided to run a talent show to help raise money for
charity. They decided that adult tickets would cost $4 and child tickets would cost $2. If 50
people showed up for the talent show, and they were able to make $140 for charity, how
many adults came to the show?
9. If xy means
x+ y
, what is (84)2?
3
10. A magical piggy bank was given to Fred one day. It told him in his dreams that whatever
money he put into it would double each day. Believing the dream, he put some money into
the piggy bank next morning. A week later, he discovered there was $14.08. Assuming the
piggy bank was actually magical, how many cents did he originally stick in the piggy bank?