Free GACE Exam Questions That Helps Candidates Pass

This is a difference of squares. Expand: x(x)+x(−3)+3(x)+3(−3)x(x) + x(-3) + 3(x) + 3(-3) = x2−3x+3x−9=x2−9x^2 - 3x + 3x - 9 = x^2 - 9. Options B, C, and D represent incorrect expansions. GACE Math requires fluency with algebraic identities, factoring, and simplification for polynomial operations. Understanding special products is essential for secondary-level math teaching.

Humans inhale oxygen and exhale carbon dioxide as a byproduct of cellular respiration. Nitrogen makes up most of the atmosphere but isn’t exchanged in respiration. Hydrogen is not significant in this process. GACE Science standards include understanding respiration and gas exchange.

The assassination of Archduke Franz Ferdinand in 1914 triggered World War I due to alliances and escalating tensions. Option A relates to WWII. Option C is WWII. Option D occurred during WWI but was not the cause. GACE Social Studies requires knowledge of causes and consequences of major world conflicts.

Recognizing story structure (problem, events, solution) builds comprehension. Summarization condenses details. Cause-and-effect identifies relationships. Vocabulary is unrelated. GACE Analysis requires teaching narrative structures as part of comprehension strategies.

Multiply numerators: 3×8=243 \times 8 = 24. Multiply denominators: 4×9=364 \times 9 = 36. Simplify 2436\frac{24}{36} by dividing top and bottom by 12 → 23\frac{2}{3}. Option A is correct. Option B (3/8) misapplies cross-multiplication. Option C (1/2) arises from incorrect simplification. Option D (9/32) shows inverted multiplication. GACE Math standards emphasize mastery of fractions, operations, and simplification—skills critical for teaching foundational arithmetic.