Slope-intercept intercepts (SAT/PSAT 8/9/10). Game on.

Slope-intercept intercepts (SAT/PSAT 8/9/10) is a grade 9 math skill aligned to Common Core standard HSF.IF.B.4: for a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 slope-intercept intercepts (sat/psat 8/9/10) problems our math games drill.

CCSS HSF.IF.B.410 questions in the bank
Kickoff

8 plays. No signup.

Warm-upeasy

The yy-intercept of the graph of y=−2x+10y = -2x + 10 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=−2(0)+10=10.y = -2(0) + 10 = 10\textsf{.}

Mid-gameeasy

The yy-intercept of the graph of y=4x+8y = 4x + 8 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=4(0)+8=8.y = 4(0) + 8 = 8\textsf{.}

Mid-gameeasy

The yy-intercept of the graph of y=−5x+20y = -5x + 20 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=−5(0)+20=20.y = -5(0) + 20 = 20\textsf{.}

Mid-gameeasy

The xx-intercept of the graph of y=2x−8y = 2x - 8 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=2x−80 = 2x - 8, 2x=82x = 8, and x=4.x = 4\textsf{.}

Mid-gameeasy

The xx-intercept of the graph of y=−3x+12y = -3x + 12 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=−3x+120 = -3x + 12, 3x=123x = 12, and x=4.x = 4\textsf{.}

Mid-gameeasy

The xx-intercept of the graph of y=5x−15y = 5x - 15 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=5x−150 = 5x - 15, 5x=155x = 15, and x=3.x = 3\textsf{.}

Mid-gameeasy

The xx-intercept of the graph of y=6x+24y = 6x + 24 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=6x+240 = 6x + 24, 6x=−246x = -24, and x=−4.x = -4\textsf{.}

Buzzer beatermedium

The xx-intercept of the graph of y=−4x−20y = -4x - 20 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=−4x−200 = -4x - 20, −4x=20-4x = 20, and x=−5.x = -5\textsf{.}

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Tests that cover slope-intercept intercepts (sat/psat 8/9/10):
NAEPPSAT 8/9SATNC EOG/EOCNY State Math
Reporting domains for this skill
SAT All grades: AlgebraACT All grades: Preparing for Higher MathSTAAR Algebra I: Quadratic Functions and EquationsMAP Growth Math 6+: Operations and Algebraic ThinkingSBAC High School: Concepts and ProceduresNAEP Grade 12: Algebra
More Grade 9 skills
Simplifying square roots (ACT)Slope-point line equations (ACT/SAT/PSAT 8/9/10)Simplifying rational expressions (ACT)Solving quadratics (leading coefficient not 1)Scalar times 2×2 matrix (ACT)Solving systems that compare numbersRecursive sequence nth term (ACT)Square and cube binomialsAll Grade 9 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves slope-intercept intercepts (sat/psat 8/9/10) questions at exactly the right difficulty.