How to solve one-step equations - HSPT Math
Card 1 of 1316
Solve for 
:
Solve for
Tap to reveal answer
Divide:
Answer: 
Divide:
Answer:
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
To solve divide each side by 
:
Answer: 
To solve divide each side by
Answer:
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
To solve divide each side by 
:
Answer: 
To solve divide each side by
Answer:
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
To solve divide each side by 
:
Answer: 
To solve divide each side by
Answer:
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
To solve, divide each side by 
.
Answer: 
To solve, divide each side by
Answer:
← Didn't Know|Knew It →
Jasmine is participating in a swimming race. If the race is 3000 yards, what percentage of the race has she completed at the 2400 yardline?
Jasmine is participating in a swimming race. If the race is 3000 yards, what percentage of the race has she completed at the 2400 yardline?
Tap to reveal answer
Divide 
.
Answer: Jasmine has completed 80% of the race.
Divide
Answer: Jasmine has completed 80% of the race.
← Didn't Know|Knew It →
Suzanne is at the grocery store. She has $5.00 to spend on produce. Oranges are $2.50 per pound, apples cost $1.50 per pound and bananas are $0.50 per pound. Which combination of fruit will fit her budget?
Suzanne is at the grocery store. She has $5.00 to spend on produce. Oranges are $2.50 per pound, apples cost $1.50 per pound and bananas are $0.50 per pound. Which combination of fruit will fit her budget?
Tap to reveal answer
Make a simple algebra equation and test it against each combination:
Total Cost = $2.50 * (# Oranges) + $1.50 * (# Apples) + $0.50 * (# Bananas)
Make a simple algebra equation and test it against each combination:
Total Cost = $2.50 * (# Oranges) + $1.50 * (# Apples) + $0.50 * (# Bananas)
← Didn't Know|Knew It →
Solve for 
: 
Solve for
Tap to reveal answer
← Didn't Know|Knew It →
Ann, Bailey, Cara, Jack, and Jill are running a marathon. Cara finishes 4 minutes before Ann. Jill finishes after Bailey, who finishes after Ann. Jack finishes right before Bailey. Who else does Jack finish the race before?
Ann, Bailey, Cara, Jack, and Jill are running a marathon. Cara finishes 4 minutes before Ann. Jill finishes after Bailey, who finishes after Ann. Jack finishes right before Bailey. Who else does Jack finish the race before?
Tap to reveal answer
Cara finishes first. Ann and Bailey finish before Jill. If Jack finishes right before Bailey, then Jill finishes last.
Cara finishes first. Ann and Bailey finish before Jill. If Jack finishes right before Bailey, then Jill finishes last.
← Didn't Know|Knew It →
A full helium tank can blow up 50 balloons. At least how many times does the tank have to be re-filled in order to blow up 140 balloons?
A full helium tank can blow up 50 balloons. At least how many times does the tank have to be re-filled in order to blow up 140 balloons?
Tap to reveal answer
Divide 
Answer: The tank must be filled up at least 3 times.
Divide
Answer: The tank must be filled up at least 3 times.
← Didn't Know|Knew It →
Alegra is taking a cooking class with friends. It is 40 dollars for every two people who participate because people are supposed to work in pairs. But if someone does not have a partner, that person can still participate but must pay $30 for him or herself. Alegra's four best friends participate in the class with her, and they divide the cost evenly. What is the total cost per person?
Alegra is taking a cooking class with friends. It is 40 dollars for every two people who participate because people are supposed to work in pairs. But if someone does not have a partner, that person can still participate but must pay $30 for him or herself. Alegra's four best friends participate in the class with her, and they divide the cost evenly. What is the total cost per person?
Tap to reveal answer
Since Alegra is taking the class with 4 friends, that means there are a total of 5 people. This means that there are 2 pairs of friends, and one alone friend.
Below are the prices that will be charged based on this make up:
2 pairs of people at 40 dollars per pair = 80 dollars
1 solo person at 30 dollars per person = 30 dollars
80 dollars plus 30 dollars is 110 dollars, the grand total.
When 110 dollars is divided by 5, the answer is 22. Therefore, 22 dollars is the correct answer.
Since Alegra is taking the class with 4 friends, that means there are a total of 5 people. This means that there are 2 pairs of friends, and one alone friend.
Below are the prices that will be charged based on this make up:
2 pairs of people at 40 dollars per pair = 80 dollars
1 solo person at 30 dollars per person = 30 dollars
80 dollars plus 30 dollars is 110 dollars, the grand total.
When 110 dollars is divided by 5, the answer is 22. Therefore, 22 dollars is the correct answer.
← Didn't Know|Knew It →
In a math contest, the team from Lincoln High comprised five students - Melanie, Ned, Olivia, Phyllis, and Quinn. Melanie outscored Ned by 12 points; Ned outscored Quinn by 19 points; Phyllis outscored Ned by 45 points and Olivia by 20 points. Who came in third among the five?
In a math contest, the team from Lincoln High comprised five students - Melanie, Ned, Olivia, Phyllis, and Quinn. Melanie outscored Ned by 12 points; Ned outscored Quinn by 19 points; Phyllis outscored Ned by 45 points and Olivia by 20 points. Who came in third among the five?
Tap to reveal answer
Since this reasoning is valid regardless of the actual scores, suppose Quinn scored 100. Then Ned scored 19 more than Quinn, or 119, and Melanie scored 12 more than Ned, or 131. Phyllis scored 45 more than Ned, or 164, and Olivia scored 20 points fewer than Phyllis, or 144. This makes the order, from greatest to least:
Phyllis, Olivia, Melanie, Ned, Quinn
Melanie scored third among the five.
Since this reasoning is valid regardless of the actual scores, suppose Quinn scored 100. Then Ned scored 19 more than Quinn, or 119, and Melanie scored 12 more than Ned, or 131. Phyllis scored 45 more than Ned, or 164, and Olivia scored 20 points fewer than Phyllis, or 144. This makes the order, from greatest to least:
Phyllis, Olivia, Melanie, Ned, Quinn
Melanie scored third among the five.
← Didn't Know|Knew It →
Solve: 
Solve:
Tap to reveal answer
To solve for 
, divide by eight on both sides of the equation.
To solve for
← Didn't Know|Knew It →
Solve for 
: 
Solve for
Tap to reveal answer
To isolate the unknown variable, multiply both sides by negative three.
To isolate the unknown variable, multiply both sides by negative three.
← Didn't Know|Knew It →
Solve: 
Solve:
Tap to reveal answer
Multiply 
on both sides of the equation to isolate the variable.
Multiply
← Didn't Know|Knew It →
Solve: 
Solve:
Tap to reveal answer
To isolate the unknown variable, multiply both sides by one-fourth.
To isolate the unknown variable, multiply both sides by one-fourth.
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.
Subtract 
from both sides of the equation.
Solve.
In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.
Subtract
Solve.
← Didn't Know|Knew It →
Solve for y:
Solve for y:
Tap to reveal answer
To solve divide each side by 30:
Answer: 
To solve divide each side by 30:
Answer:
← Didn't Know|Knew It →
Solve for 
:
Solve for
Tap to reveal answer
To solve, divide each side by 
.
Answer: 
To solve, divide each side by
Answer:
← Didn't Know|Knew It →
Tap to reveal answer
Divide each side by 25:
Divide each side by 25:
← Didn't Know|Knew It →