# SAT Skills Insight

Next Tests:
12/5 , 1/23

#### Skills needed to score in this band

SKILL 1: Use function notation in simple situations (e.g., evaluation)

SKILL 2: Use variables in multistep abstract settings (e.g., apply the distributive property across several variables)

SKILL 3: Solve problems involving positive-integer exponents

SKILL 4: Solve word problems involving linear relationships

SKILL 5: Substitute values in and simplify systems of equations in two variables

SKILL 6: Solve two-step linear equations

SKILL 7: Evaluate an operation in two variables represented by unfamiliar symbols

1. 1

Use function notation in simple situations (e.g., evaluation)

Example

For all numbers let be defined by . What is the value of ?

2. 2

Use variables in multistep abstract settings (e.g., apply the distributive property across several variables)

Example

If and are positive integers, what are all the solutions of the equation ?

3. 3

Solve problems involving positive-integer exponents

Example

If , what is the value of ?

4. 4

Solve word problems involving linear relationships

Example

Morgan’s plant grew from centimeters to centimeters in a year. Linda’s plant, which was centimeters at the beginning of the year, grew twice as many centimeters as Morgan’s plant did during the same year. How tall, in centimeters, was Linda’s plant at the end of the year?

5. 5

Substitute values in and simplify systems of equations in two variables

Example

If and are defined by the equations above, what is the value of when and ?

6. 6

Solve two-step linear equations

Example

If , then

#### Skills needed to score in the next band

Formulate and solve problems involving proportions

Solve multistep problems involving linear and quadratic relationships

Use and interpret graphs, including graphs of step functions

Solve problems involving algebraic inequalities

Solve problems involving exponential growth and decay

Evaluate an operation in three variables represented by unfamiliar symbols