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Math Test Preparation
V1
Module 1
Test Language and Essential Algebra Refresh
1
Essential Algebra, Functions, and Geometry Terms: English–Hebrew Matching
Match essential English test terms in algebra, functions, and geometry with their Hebrew equivalents.
Match essential English test terms in algebra, functions, and geometry with their Hebrew equivalents.
2
Simplifying Algebraic Expressions Using the Distributive Property and Like Terms
Simplify algebraic expressions by applying the distributive property and combining like terms.
Simplify algebraic expressions by applying the distributive property and combining like terms.
3
Solving and Verifying One-Variable Linear Equations
Solve one-variable linear equations and verify the solution by substitution.
Solve one-variable linear equations and verify the solution by substitution.
4
Factoring Expressions by Greatest Common Factor
Factor an algebraic expression by extracting its greatest common factor.
Factor an algebraic expression by extracting its greatest common factor.
5
Factoring Differences of Two Squares
Factor a difference of two squares.
Factor a difference of two squares.
6
Factoring Quadratic Trinomials of the Form x² + bx + c
Factor a quadratic trinomial of the form x² + bx + c.
Factor a quadratic trinomial of the form x² + bx + c.
7
Factoring Quadratic Trinomials: \(ax^2 + bx + c\)
Factor a quadratic trinomial of the form ax² + bx + c.
Factor a quadratic trinomial of the form ax² + bx + c.
Module 2
Algebraic Fractions and Equations
8
Determining Domain Restrictions from Algebraic Fraction Denominators
Determine the domain restrictions of an algebraic fraction from its denominator.
Determine the domain restrictions of an algebraic fraction from its denominator.
9
Simplifying Algebraic Fractions with Domain Restrictions
Simplify an algebraic fraction by factoring and cancelling common factors while preserving its domain restrictions.
Simplify an algebraic fraction by factoring and cancelling common factors while preserving its domain restrictions.
10
Finding Least Common Denominators and Rewriting Algebraic Fractions
Find a least common denominator and rewrite algebraic fractions as equivalent fractions.
Find a least common denominator and rewrite algebraic fractions as equivalent fractions.
11
Solving Equations by Clearing Algebraic Fractions
Solve an equation containing algebraic fractions by clearing its denominators.
Solve an equation containing algebraic fractions by clearing its denominators.
12
Verify Solutions and Reject Domain-Excluded Values
Check proposed solutions to an algebraic-fraction equation and reject values excluded from the domain.
Check proposed solutions to an algebraic-fraction equation and reject values excluded from the domain.
Module 3
Linear and Quadratic Functions
13
Connecting Function Notation, Tables, and Graphs
Interpret function notation and connect an equation, an input-output pair, and a point on a graph.
Interpret function notation and connect an equation, an input-output pair, and a point on a graph.
14
Finding x- and y-Intercepts from Linear and Quadratic Equations
Find the x- and y-intercepts of a linear or quadratic function from its equation.
Find the x- and y-intercepts of a linear or quadratic function from its equation.
15
Increasing or Decreasing Linear Functions from Slope
Determine where a linear function is increasing or decreasing from its slope.
Determine where a linear function is increasing or decreasing from its slope.
16
Finding the Vertex of a Parabola from Its Quadratic Equation
Calculate the vertex of a parabola from its quadratic equation.
Calculate the vertex of a parabola from its quadratic equation.
17
Increasing and Decreasing Intervals of Quadratic Functions
Determine the intervals where a quadratic function increases and decreases from its vertex and opening direction.
Determine the intervals where a quadratic function increases and decreases from its vertex and opening direction.
18
Determining Where Linear and Quadratic Functions Are Positive or Negative
Determine the intervals where a linear or quadratic function is positive or negative.
Determine the intervals where a linear or quadratic function is positive or negative.
19
Finding Function Intersections by Equating Outputs
Find the intersection points of two functions by setting their outputs equal and solving the resulting equation.
Find the intersection points of two functions by setting their outputs equal and solving the resulting equation.
Module 4
Geometry for the Placement Test
20
Calculating Missing Angles with Angle Relationships
Calculate missing angles using vertical, adjacent, complementary, and supplementary angle relationships.
Calculate missing angles using vertical, adjacent, complementary, and supplementary angle relationships.
21
Calculating Missing Angles with Parallel Lines and a Transversal
Calculate missing angles formed by a transversal crossing parallel lines.
Calculate missing angles formed by a transversal crossing parallel lines.
22
Selecting the Appropriate Triangle Congruence Criterion
Select an appropriate triangle-congruence criterion from given side and angle information.
Select an appropriate triangle-congruence criterion from given side and angle information.
23
Using Triangle Congruence to Identify Corresponding Parts
Use triangle congruence to determine equal corresponding sides or angles.
Use triangle congruence to determine equal corresponding sides or angles.
24
Finding Missing Sides and Angles in Isosceles Triangles
Calculate missing sides or angles in an isosceles triangle using its defining properties.
Calculate missing sides or angles in an isosceles triangle using its defining properties.
25
Finding a Missing Side Using the Pythagorean Theorem
Calculate a missing side of a right-angled triangle using the Pythagorean theorem.
Calculate a missing side of a right-angled triangle using the Pythagorean theorem.
26
Identifying Quadrilaterals by Their Defining Properties
Distinguish a parallelogram, rectangle, rhombus, square, trapezoid, and kite from their defining properties.
Distinguish a parallelogram, rectangle, rhombus, square, trapezoid, and kite from their defining properties.
27
Finding Missing Sides and Angles in Quadrilaterals
Calculate missing sides or angles in quadrilaterals by applying the properties of their specific type.
Calculate missing sides or angles in quadrilaterals by applying the properties of their specific type.