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Quizzes > High School Quizzes > Mathematics

Evaluating Expressions Practice Quiz

Practice expressions with engaging 6th and 7th grade challenges

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting the engaging Expression Evaluation Challenge algebra quiz.

Evaluate the expression: 3 + 4 * 2.
10
14
11
7
Apply the order of operations by performing multiplication before addition. Multiplying 4 by 2 gives 8, and adding 3 yields 11.
Evaluate the expression: (3 + 4) * 2.
12
14
10
11
The parentheses require you to add 3 and 4 first to get 7, which is then multiplied by 2 to give 14. This problem reinforces the proper use of grouping symbols.
Evaluate the expression: 10 - 2 * 3.
4
8
10
6
According to order of operations, multiply 2 by 3 to get 6, then subtract that from 10 to arrive at 4. This question emphasizes the importance of performing multiplication before subtraction.
Given x = 5, evaluate the expression: 2x + 3.
12
10
13
15
Substitute 5 for x to get 2(5) which is 10, then add 3 to reach 13. This problem practices basic substitution and arithmetic operations.
Given y = 3, evaluate the expression: 4(y - 2).
7
5
6
4
Replace y with 3, then compute the expression inside the parentheses: 3 - 2 equals 1. Multiplying 4 by 1 results in 4.
For a = 5, evaluate the expression: 3(a + 2) - 2a.
15
13
9
11
Substitute 5 in for a so that (a + 2) becomes 7. Multiplying 7 by 3 gives 21, and subtracting 2 times 5 (which is 10) results in 11.
If b = 4, what is the value of (b^2 - 2b) / 2?
6
4
2
8
Replace b with 4, so b^2 becomes 16 and 2b is 8. Subtracting gives 8, and dividing by 2 leads to the answer 4.
If x = 2 and y = 5, find the result of 4(x + y) - 3x.
24
22
20
26
Add x and y to get 7, then multiply by 4 to obtain 28. Subtracting 3 times x (which is 6) yields 22.
Simplify and evaluate 5(m - 1) + 2m for m = 4.
23
25
20
22
Substitute 4 for m; first compute m - 1 to get 3, then multiply by 5 obtaining 15. Adding 2 times m (which is 8) gives the final answer of 23.
Evaluate 3n^2 - 4n if n = -2.
20
-4
16
12
For n = -2, square the value to obtain 4, and then multiply by 3 to get 12. Also, -4 multiplied by -2 yields 8; combining these results gives 20.
If p = 6, evaluate (2p + 8) / (p - 2).
4
6
8
5
Substitute 6 for p: the numerator becomes 2(6) + 8 = 20, and the denominator is 6 - 2 = 4. Dividing 20 by 4 results in 5.
Given k = 3, evaluate (8k + 4) / 2 - k.
9
12
11
10
With k set to 3, compute 8(3) + 4 to obtain 28 and then divide by 2 to get 14. Subtracting k (which is 3) results in 11.
Evaluate the expression: 7 - 3[2 + (4 - 6)].
7
-1
10
1
Inside the brackets, (4 - 6) equals -2, so 2 + (-2) is 0. Multiplying 3 by 0 yields 0, and subtracting 0 from 7 leaves 7.
If a = 2, what is the value of 2a + (10 / a)?
9
10
7
8
Replacing a with 2 gives 2(2) which is 4, and 10 divided by 2 equals 5. Their sum, 4 + 5, results in 9.
Given x = 4, evaluate 2(x + 3) - (x / 2).
14
9
10
12
Substitute 4 for x so that (x + 3) becomes 7, and then multiply by 2 to get 14. Finally, subtract half of 4 (which is 2) to arrive at 12.
If x = 3 and y = 4, evaluate 2x^2 + 3xy - y^2.
36
40
38
42
Replace x with 3 and y with 4. Calculate 2x^2 as 2(9) = 18, 3xy as 36, and y^2 as 16; then 18 + 36 - 16 yields 38.
For m = 5, simplify and evaluate (m^2 - 9) / (m - 3).
10
8
16
2
The numerator factors as (m - 3)(m + 3). Cancel the (m - 3) term with the denominator to obtain m + 3. Substituting m = 5 results in 8.
If t = 2, find the value of 4[t + 3(2t - 1)] - 5.
39
40
37
41
Calculate the innermost expression first: 2t - 1 becomes 3 when t = 2. Multiply 3 by 3 to get 9, add t (which is 2) to make 11, and then multiply by 4 to reach 44 before subtracting 5 to obtain 39.
For z = 6, evaluate 1/2 * (z + 4) - (z - 3) / 3.
4
2
3
5
Substitute z with 6, making (z + 4) equal 10 so that half of 10 is 5. Also, (z - 3) evaluates to 3 and dividing 3 by 3 gives 1; subtracting yields 4.
If a = 3.5, evaluate 2a - (a/7) + 1.
8
6.5
7
7.5
Multiplying a by 2 gives 7, and dividing 3.5 by 7 results in 0.5. Subtract 0.5 from 7 and then add 1 to reach the final answer, 7.5.
0
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Study Outcomes

  1. Apply the order of operations to accurately evaluate expressions.
  2. Substitute values for variables to determine expression results.
  3. Analyze algebraic expressions to recognize underlying arithmetic properties.
  4. Simplify expressions by combining like terms and using the distributive property.
  5. Evaluate the accuracy of computed results through systematic checking.

Evaluating Expressions Worksheet & Cheat Sheet

  1. Know your expression parts - Think of variables as mystery boxes, coefficients as their labels, constants as solid anchors, and terms as the pieces of the puzzle. Pinpointing these parts will help you simplify and conquer any algebraic challenge like a pro. Symbolab Study Guide
  2. Master the order of operations - Follow PEMDAS (or BODMAS if you prefer!) so you never mix up Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Sticking to this order is like having a secret code for unlocking correct answers every time. Order of Operations Worksheet
  3. Practice substituting values - Get hands‑on by plugging in values, such as replacing x with - 2 in 3x + 1, and watch the numbers transform before your eyes. This practice makes the abstract feel concrete and boosts your confidence with every correct evaluation. Substitution Exercises
  4. Be careful with negatives - Negative numbers can be sneaky - always wrap them in parentheses when substituting, so you don't end up with double negatives gone wild. This tiny trick prevents common slip‑ups and keeps your calculations on track. Mometrix Tips
  5. Tackle exponents like a boss - Exponents are just fancy repeats of multiplication: squaring means multiplying by itself, cubing means three times over, and so on. When s = 2 in 4s² - 1, you're really calculating 4 × (2 × 2) - 1, which simplifies neatly to 15. Exponent Rules at Mometrix
  6. Handle multiple variables step by step - Multiple variables? No problem! Substitute each one step by step, simplify between moves, and watch the expression unravel smoothly. Multi-Variable Practice
  7. Combine like terms first - Before plugging in numbers, combine like terms - add or subtract coefficients of identical variable parts to shrink the expression. This warm‑up exercise lightens the load and makes the main evaluation a breeze. Combining Like Terms Guide
  8. Use worksheets for repetition - Worksheets are your secret weapon: the more problems you tackle, the sharper your algebra reflexes become. Regular practice turns tricky expressions into familiar friends. Education.com Worksheets
  9. Watch video tutorials - Video tutorials turn math into a dynamic show - seeing the process play out in real time can cement concepts far better than text alone. Pop in your headphones and let the algebra lesson come alive on screen. Video Tutorials
  10. Remember: practice makes perfect - Algebra is a skill, and skills grow with repetition - don't shy away from extra practice, even when it feels challenging. With each problem you solve, your brain builds muscle, turning confusion into clarity over time. College Ready Math
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