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7th Grade Mathematics Practice - Set 4 — Iowa Assessments (ITBS) Prep

This 7th Grade math practice set addresses the algebraic reasoning and quantitative analysis skills evaluated on the Iowa Assessments (ITBS) at Level 12. Seventh graders will work with linear equations, proportional relationships, probability and statistics, geometric transformations, and complex multi-step problems. The Iowa Test of Basic Skills at this level measures students' readiness for advanced mathematics by testing their ability to think algebraically and apply mathematical concepts across different contexts. These practice questions help 12 and 13 year old students strengthen the analytical skills crucial for standardized assessment success. This is Set 4, providing additional practice problems to ensure thorough preparation across all tested math topics.

Total Questions: 24 Grade: 7th Grade Iowa Level: Level 12 Ages: 12-13
ExpressionsEquationsInequalitiesStatistics
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Math Set 4

Expressions, Equations, Statistics

Question 1 of 24
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Review All 24 Practice Questions

Expressions

  1. Simplify: 3x + 7 - 5x + 2 (-2x + 9 | 8x + 9 | -2x - 9 | 2x + 9)
  2. What is the value of 4a² - 3a + 5 when a = 2? (13 | 15 | 17 | 11)
  3. Simplify: 2(3x - 4) + 5x (11x - 4 | 11x - 8 | 6x - 8 | 8x - 8)
  4. Which expression is equivalent to 5(x + 2) - 3(x - 1)? (2x + 7 | 2x + 13 | 8x + 3 | 2x + 3)
  5. Factor: 12x + 18 (6(2x + 3) | 3(4x + 6) | 2(6x + 9) | 4(3x + 4))
  6. Simplify: -4(2x - 3) + 6x (-2x + 12 | -2x - 12 | 14x - 12 | -14x + 12)

Equations

  1. Solve for x: 3x + 7 = 22 (x = 5 | x = 7 | x = 29/3 | x = 15)
  2. Solve for x: 2(x - 3) = 14 (x = 10 | x = 7 | x = 5.5 | x = 8.5)
  3. Solve for x: 5x - 8 = 3x + 6 (x = 7 | x = -1 | x = 1 | x = -7)
  4. Solve for x: x/4 + 3 = 8 (x = 20 | x = 44 | x = 5 | x = 11)
  5. Solve for x: -2x + 9 = 15 (x = -3 | x = 3 | x = 12 | x = -12)
  6. Solve for x: 4(x + 2) = 3(x - 1) + 15 (x = 4 | x = 2 | x = 6 | x = -2)

Inequalities

  1. Solve for x: 2x - 5 < 9 (x < 7 | x < 2 | x > 7 | x < 14)
  2. Solve for x: -3x ≥ 12 (x ≤ -4 | x ≥ -4 | x ≤ 4 | x ≥ 4)
  3. Which value of x satisfies the inequality x + 7 > 15? (7 | 9 | 8 | 6)
  4. Solve: 4x + 3 ≤ 2x + 11 (x ≤ 4 | x ≥ 4 | x ≤ 7 | x ≥ 7)

Statistics

  1. Find the mean of: 12, 15, 18, 20, 25 (17 | 18 | 19 | 20)
  2. Find the median of: 8, 12, 15, 19, 22, 30 (15 | 17 | 18 | 19)
  3. Find the mode of: 5, 8, 5, 12, 8, 5, 15, 8, 5 (8 | 5 | 12 | Both 5 and 8)
  4. What is the range of: 14, 22, 8, 35, 19? (21 | 27 | 35 | 8)
  5. The mean of 5 numbers is 24. If four of the numbers are 18, 22, 26, and 30, what is the fifth number? (22 | 24 | 26 | 20)
  6. Which measure of central tendency is most affected by outliers? (Mode | Mean | Median | Range)
  7. A data set has values: 10, 12, 12, 14, 15, 18, 45. Which measure best represents the center of this data? (Mean | Median | Mode | Range)
  8. The interquartile range (IQR) measures: (The difference between highest and lowest values | The spread of the middle 50% of the data | The average of all values | The most frequent value)
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