**Additional Practice**

NOTE: In each of the above video lessons, you’ll find a **Reinforcement Activities** box containing several practice questions that are specifically related to the concepts covered in that lesson (e.g., the lesson on inequalities). Conversely, the practice questions below cover a variety of topics under the umbrella of GMAT Algebra and Equation Solving, and are intended for general reinforcement.

Given this, you may find it beneficial to work on the questions below __after__ you’ve mastered the module content by watching the video lessons and answering concept-specific practice questions from the Related Resources boxes. For more on this learning strategy, visit our course overview page.

__Problem Solving__** (level of difficulty: 350 to 500) **

Combining inequality information (inequalities)

Solutions of finite length (inequalities)

Cannot be true (inequalities)

Orderings of squares (inequalities, powers)

__Problem Solving__** (level of difficulty: 500 to 650)**

Lots of brackets (equations)

Identify the inequality (inequalities, absolute value)

f(x) = f(1 – x) (functions)

Must be true (inequalities, absolute value)

f(a+b) = f(a) + f(b) (functions)

__Problem Solving__** (level of difficulty: 650 to 800)**

Value of b+c (fractions, equations)

Integer coordinates (coordinate plane)

Sum of x and y (coordinate plane)

Which quadrant? (coordinate plane)

Possibilities for line l (coordinate plane)

__Data Sufficiency__** (level of difficulty: 350 to 500)**

Between 0.1 and 1.0 (inequalities)

Integers between r and s (inequalities)

Value of |x+7| (absolute value, equations)

x = 4y - 4 (equations)

Value of x^2 – y^2 (equations, algebra)

Comparing 1/(x-y) with (y-x) (inequalities)

__Data Sufficiency__** (level of difficulty: 500 to 650)**

Function inequality (inequalities, powers, functions)

Are x and y both positive? (inequalities, equations, arithmetic)

Addition table (equations, algebra)

Value of xy (equations)

Absolute inequality (inequalities, absolute value)

y = 3x + 2 (coordinate plane)

Negative slope (coordinate plane)

Midpoint of line segment CD (coordinate plane)

Comparing x - 1/16 with 5/8 (inequalities)

(x+5)/(y+5) (inequalities)

__Data Sufficiency__** (level of difficulty: 650 to 800)**

Intersecting the x-axis (coordinate plane)

Powers and inequalities (inequalities, powers)

Variables a, b and c (algebra, equations)

Comparing 3x and 7y (inequalities)

m + n = 250 (inequalities)

zt < -3 (inequalities)

Is x between x and y? (inequalities)

**Practice from the Official Guides**

**Official Guide for GMAT Review (2018 edition)**

Problem Solving: 16, 19, 25, 27, 31, 33, 35, 49, 50, 51, 56, 65, 67, 72, 77, 78, 83, 88, 91, 93, 101, 104, 109, 110, 111, 117, 127, 128, 138, 155, 168, 180, 183, 184, 185, 193, 196, 216, 218, 222, 226, 228, 230

Data Sufficiency: 247, 252, 264, 274, 275, 279, 281, 291, 303, 306, 307, 315, 318, 320, 347, 350, 352, 355, 359, 361, 364, 365, 366, 372, 376, 377, 382, 383, 391, 401, 404

**Official Guide for GMAT Review (2017 edition)**

Problem Solving: 8, 21, 22, 27, 31, 33, 45, 46, 49, 57, 59, 63, 66, 67, 70, 74, 76, 78, 84, 92, 93, 94, 104, 110, 121, 137, 143, 152, 163, 170, 171, 172, 175, 183, 187, 188, 191, 211, 217, 222, 224, 227, 229, 230

Data Sufficiency: 235, 245, 246, 247, 261, 268, 271, 272, 273, 278, 279, 288, 292, 293, 301, 305, 307, 316, 335, 338, 345, 349, 352, 355, 357, 374, 379, 384, 398, 399, 401, 404

**Official Guide for GMAT Review (2016 edition)**

Problem Solving: 5, 14, 16, 17, 21, 25, 44, 42, 47, 53, 54, 60, 61, 63, 66, 68, 75, 82, 83, 84, 92, 97, 107, 121, 126, 145, 153, 154, 155, 159, 168, 173, 174, 178, 179, 187, 206, 210 , 213, 220, 225, 229, 230

Data Sufficiency: 6, 16, 18, 27, 37, 38, 39, 42, 53, 54, 61, 65, 66, 74, 81, 91, 94, 101, 104, 107, 111, 114, 119, 130, 136, 142, 144, 166, 168, 172

**Official Guide for GMAT Review (2015/13th edition)**

Problem Solving: 7, 14, 28, 37, 42, 43, 45, 47, 50, 54, 55, 61, 69, 70, 72, 73, 99, 102, 120, 129, 130, 134, 143, 149, 150, 156, 157, 164, 169, 187, 191, 192, 199, 202, 206, 209, 211, 216, 220, 223, 229, 230

Data Sufficiency: 1, 11, 13, 17, 36, 41, 48, 50, 53, 60, 67, 74, 82, 85, 86, 92, 96, 97, 99, 104, 118, 129, 136, 155, 156, 160, 162, 164, 167, 171

While answering practice questions from the *Official Guide for GMAT Review* (2018, 2017, 2016, 2015), you can enter your responses directly into our downloadable **Improvement Chart**. This will help track your progress and identify areas of weakness.