Below is a selection of types of questions you could see on the LEAP 2025 test for Algebra I. Be sure to read the directions for each set of questions and the tips/hints provided to get you through.
This Unit is about solving and understanding equations and inequalities along with their solutions.
Solve each equation.
By hand without Desmos - Using reverse operations to isolate the variable.
On Desmos - type the entire equation and replace the variable with x. Look where the line crosses the x-axis.
Remember, your answers will be written as the variable = number. (examples a=5). If the equation at any point makes an untrue statement like 5=9, it's no solution. If you get a statement that's always true like 5=5, it's infinitely many solutions.
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Question 1
1.
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Question 2
2.
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Question 3
3.
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Question 4
4.
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Question 5
5.
Solve this equation.
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Question 6
6.
Solve this equation.
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Question 7
7.
Solve this equation.
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Question 8
8.
Solve this equation.
These are inequalities that you solve much like the problems above.
By hand without desmos - The same rules apply except for the following: If you multiply or divide both sides by a negative, your inequality symbol has to flip.
Here is an example -
With Desmos - type the entire inequality and change the variable to x so that it will graph. You will find where it crosses the x-axis and which way the graph shades.
Solid line means equal. (closed circle on number line)
Dotted means not equal. (open circle on number line)
Shaded to left means <
Shaded to right means >
Here is an example -
So the answer will be x > 4
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Question 9
9.
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Question 10
10.
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Question 11
11.
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Question 12
12.
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Question 13
13.
Solve this inequality.
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Question 14
14.
Solve this inequality.
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Question 15
15.
Match the inequality with the correct number line.
These are literal equations. You solve for the variable indicated. Unfortunately, you can not work these on Desmos so they have to be done by hand. You use the same rules as solving equations. Your answer will just be a rearranged formula with the indicated variable isolated. Here are two examples.
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Question 16
16.
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Question 17
17.
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Question 18
18.
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Question 19
19.
Writing an inequality requires understanding which phrases refer to which inequality symbol. Below is a list of phrases that must be matched to the correct symbol.
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Question 20
20.
minimum
exceeds
more than
at least
maximum
smaller than
above
not to exceed
at most
below
not below
no less than
no more than
< (less than) 2
≤ (less than or equal to) 4
> (greater than) 2
≥ (greater than or equal to) 5
For the next set, you will type the inequality that will represent the mini story provided. For example:
Jenny needs at least 3 pencils for the school day.
The inequality used to represent this is
Use x as your variable for all.
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Question 21
21.
Cynthia can have no more than 20 students in her class.
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Question 22
22.
Clarence can have an amount of donuts smaller than 5 for the day.
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Question 23
23.
The roller coaster has a height requirement of no less than 5 feet tall.
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Question 24
24.
To beat the world record for the highest jump you must jump above 10 feet.
